45876037069824 has 352 divisors, whose sum is σ = 141791567178240. Its totient is φ = 13060181065728.

The previous prime is 45876037069783. The next prime is 45876037069843. The reversal of 45876037069824 is 42896073067854.

It is a super-2 number, since 2×45876037069824² (a number of 28 digits) contains 22 as substring.

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, 39483157 + ... + 40628459.

Almost surely, 2^{45876037069824} 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 45876037069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70895783589120).

45876037069824 is an abundant number, since it is smaller than the sum of its proper divisors (95915530108416).

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

45876037069824 is a wasteful number, since it uses less digits than its factorization.

45876037069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145415 (or 1145397 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 45876037069824 in words is "forty-five trillion, eight hundred seventy-six billion, thirty-seven million, sixty-nine thousand, eight hundred twenty-four".