845956540993536 has 4992 divisors, whose sum is σ = 3412733467852800. Its totient is φ = 195974827868160.

The previous prime is 845956540993471. The next prime is 845956540993549. The reversal of 845956540993536 is 635399045659548.

845956540993536 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 5 + 6 + 540 + 9 + 9 + 35 + 36 = 666.

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 383 ways as a sum of consecutive naturals, for example, 3694133366670 + ... + 3694133366898.

It is an arithmetic number, because the mean of its divisors is an integer number (683640518400).

Almost surely, 2^{845956540993536} 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 845956540993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706366733926400).

845956540993536 is an abundant number, since it is smaller than the sum of its proper divisors (2566776926859264).

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

845956540993536 is a wasteful number, since it uses less digits than its factorization.

845956540993536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 18895680000, while the sum is 81.

The spelling of 845956540993536 in words is "eight hundred forty-five trillion, nine hundred fifty-six billion, five hundred forty million, nine hundred ninety-three thousand, five hundred thirty-six".