45595691041680 has 2560 divisors, whose sum is σ = 195654677299200. Its totient is φ = 9631589990400.

The previous prime is 45595691041639. The next prime is 45595691041709. The reversal of 45595691041680 is 8614019659554.

45595691041680 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 56 + 91 + 0 + 416 + 80 = 666.

It is a super-3 number, since 3×45595691041680³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 72259414965 + ... + 72259415595.

It is an arithmetic number, because the mean of its divisors is an integer number (76427608320).

Almost surely, 2^{45595691041680} is an apocalyptic number.

45595691041680 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 45595691041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97827338649600).

45595691041680 is an abundant number, since it is smaller than the sum of its proper divisors (150058986257520).

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

45595691041680 is a wasteful number, since it uses less digits than its factorization.

45595691041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 45595691041680 in words is "forty-five trillion, five hundred ninety-five billion, six hundred ninety-one million, forty-one thousand, six hundred eighty".