45189896974560 has 1152 divisors, whose sum is σ = 180214963568640. Its totient is φ = 10214752665600.

The previous prime is 45189896974553. The next prime is 45189896974571. The reversal of 45189896974560 is 6547969898154.

45189896974560 is a `hidden beast` number, since 4 + 5 + 1 + 89 + 89 + 6 + 9 + 7 + 456 + 0 = 666.

It is a super-3 number, since 3×45189896974560³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45189896974560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3566397025 + ... + 3566409695.

It is an arithmetic number, because the mean of its divisors is an integer number (156436600320).

Almost surely, 2^{45189896974560} is an apocalyptic number.

45189896974560 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 45189896974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90107481784320).

45189896974560 is an abundant number, since it is smaller than the sum of its proper divisors (135025066594080).

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

45189896974560 is a wasteful number, since it uses less digits than its factorization.

45189896974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 45189896974560 in words is "forty-five trillion, one hundred eighty-nine billion, eight hundred ninety-six million, nine hundred seventy-four thousand, five hundred sixty".