45916812037632 has 160 divisors (see below), whose sum is σ = 125786763194400. Its totient is φ = 14873516310528.

The previous prime is 45916812037631. The next prime is 45916812037639. The reversal of 45916812037632 is 23673021861954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45916812037631) 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 15 ways as a sum of consecutive naturals, for example, 45477744 + ... + 46476432.

It is an arithmetic number, because the mean of its divisors is an integer number (786167269965).

It is a 3-persistent number, because k⋅45916812037632 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{45916812037632} 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 45916812037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62893381597200).

45916812037632 is an abundant number, since it is smaller than the sum of its proper divisors (79869951156768).

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

45916812037632 is an equidigital number, since it uses as much as digits as its factorization.

45916812037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999556 (or 999540 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 45916812037632 in words is "forty-five trillion, nine hundred sixteen billion, eight hundred twelve million, thirty-seven thousand, six hundred thirty-two".