45664368960 has 896 divisors, whose sum is σ = 183523737600. Its totient is φ = 9385943040.

The previous prime is 45664368949. The next prime is 45664368983. The reversal of 45664368960 is 6986346654.

It is a super-2 number, since 2×45664368960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 45664368960.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 328520571 + ... + 328520709.

It is an arithmetic number, because the mean of its divisors is an integer number (204825600).

Almost surely, 2^45664368960 is an apocalyptic number.

45664368960 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 45664368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91761868800).

45664368960 is an abundant number, since it is smaller than the sum of its proper divisors (137859368640).

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

45664368960 is a wasteful number, since it uses less digits than its factorization.

45664368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 45664368960 in words is "forty-five billion, six hundred sixty-four million, three hundred sixty-eight thousand, nine hundred sixty".