45288621120 has 112 divisors (see below), whose sum is σ = 144075424320. Its totient is φ = 12053108736.

The previous prime is 45288621047. The next prime is 45288621127. The reversal of 45288621120 is 2112688254.

It is a happy number.

It is a super-4 number, since 4×45288621120⁴ (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (45288621127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442299 + ... + 534981.

Almost surely, 2^45288621120 is an apocalyptic number.

45288621120 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 45288621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037712160).

45288621120 is an abundant number, since it is smaller than the sum of its proper divisors (98786803200).

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

45288621120 is a wasteful number, since it uses less digits than its factorization.

45288621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93212 (or 93202 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 45288621120 in words is "forty-five billion, two hundred eighty-eight million, six hundred twenty-one thousand, one hundred twenty".