45966217372032 has 256 divisors, whose sum is σ = 129488673600000. Its totient is φ = 14406846529536.

The previous prime is 45966217372003. The next prime is 45966217372157. The reversal of 45966217372032 is 23027371266954.

It is a super-2 number, since 2×45966217372032² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1433874148 + ... + 1433906204.

It is an arithmetic number, because the mean of its divisors is an integer number (505815131250).

Almost surely, 2^{45966217372032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45966217372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64744336800000).

45966217372032 is an abundant number, since it is smaller than the sum of its proper divisors (83522456227968).

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

45966217372032 is a wasteful number, since it uses less digits than its factorization.

45966217372032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33561 (or 33549 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 45966217372032 in words is "forty-five trillion, nine hundred sixty-six billion, two hundred seventeen million, three hundred seventy-two thousand, thirty-two".