45544444240000 has 160 divisors (see below), whose sum is σ = 113579422872300. Its totient is φ = 18185742336000.

The previous prime is 45544444239997. The next prime is 45544444240003. The reversal of 45544444240000 is 4244444554.

It is an interprime number because it is at equal distance from previous prime (45544444239997) and next prime (45544444240003).

It can be written as a sum of positive squares in 10 ways, for example, as 3862545592896 + 41681898647104 = 1965336^2 + 6456152^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×45544444240000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45544444240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45019732 + ... + 46020268.

Almost surely, 2^{45544444240000} is an apocalyptic number.

45544444240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45544444240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56789711436150).

45544444240000 is an abundant number, since it is smaller than the sum of its proper divisors (68034978632300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45544444240000 is an equidigital number, since it uses as much as digits as its factorization.

45544444240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001140 (or 1001113 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 40.

Adding to 45544444240000 its reverse (4244444554), we get a palindrome (45548688684554).

The spelling of 45544444240000 in words is "forty-five trillion, five hundred forty-four billion, four hundred forty-four million, two hundred forty thousand".