45183474937440 has 864 divisors, whose sum is σ = 183310026419520. Its totient is φ = 10309241143296.

The previous prime is 45183474937423. The next prime is 45183474937441. The reversal of 45183474937440 is 4473947438154.

It is a happy number.

45183474937440 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 3 + 474 + 93 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×45183474937440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45183474937441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4357548576 + ... + 4357558944.

It is an arithmetic number, because the mean of its divisors is an integer number (212164382430).

Almost surely, 2^{45183474937440} is an apocalyptic number.

45183474937440 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 45183474937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91655013209760).

45183474937440 is an abundant number, since it is smaller than the sum of its proper divisors (138126551482080).

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

45183474937440 is an equidigital number, since it uses as much as digits as its factorization.

45183474937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 10979 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 45183474937440 in words is "forty-five trillion, one hundred eighty-three billion, four hundred seventy-four million, nine hundred thirty-seven thousand, four hundred forty".