45889637877504 has 648 divisors, whose sum is σ = 147355450089120. Its totient is φ = 13705146335232.

The previous prime is 45889637877497. The next prime is 45889637877541. The reversal of 45889637877504 is 40577873698854.

45889637877504 is a `hidden beast` number, since 4 + 5 + 8 + 8 + 9 + 6 + 37 + 8 + 77 + 504 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1702566492 + ... + 1702593444.

It is an arithmetic number, because the mean of its divisors is an integer number (227400385940).

Almost surely, 2^{45889637877504} 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 45889637877504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73677725044560).

45889637877504 is an abundant number, since it is smaller than the sum of its proper divisors (101465812211616).

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

45889637877504 is a wasteful number, since it uses less digits than its factorization.

45889637877504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27125 (or 27089 counting only the distinct ones).

The product of its (nonzero) digits is 11379916800, while the sum is 81.

The spelling of 45889637877504 in words is "forty-five trillion, eight hundred eighty-nine billion, six hundred thirty-seven million, eight hundred seventy-seven thousand, five hundred four".