846935949096 has 96 divisors (see below), whose sum is σ = 2301324168000. Its totient is φ = 281385384192.

The previous prime is 846935949089. The next prime is 846935949103. The reversal of 846935949096 is 690949539648.

846935949096 is a `hidden beast` number, since 8 + 46 + 9 + 3 + 5 + 9 + 490 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (846935949089) and next prime (846935949103).

It is a super-2 number, since 2×846935949096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 32638095 + ... + 32664033.

It is an arithmetic number, because the mean of its divisors is an integer number (23972126750).

Almost surely, 2^846935949096 is an apocalyptic number.

It is an amenable number.

846935949096 is an abundant number, since it is smaller than the sum of its proper divisors (1454388218904).

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

846935949096 is a wasteful number, since it uses less digits than its factorization.

846935949096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27423 (or 27416 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 846935949096 in words is "eight hundred forty-six billion, nine hundred thirty-five million, nine hundred forty-nine thousand, ninety-six".