96347645856 has 864 divisors, whose sum is σ = 367426523520. Its totient is φ = 24041318400.

The previous prime is 96347645833. The next prime is 96347645857. The reversal of 96347645856 is 65854674369.

96347645856 is a `hidden beast` number, since 9 + 6 + 3 + 47 + 6 + 4 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 96347645793 and 96347645802.

It is not an unprimeable number, because it can be changed into a prime (96347645857) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 703267420 + ... + 703267556.

It is an arithmetic number, because the mean of its divisors is an integer number (425262180).

Almost surely, 2^96347645856 is an apocalyptic number.

96347645856 is a gapful number since it is divisible by the number (96) 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 96347645856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183713261760).

96347645856 is an abundant number, since it is smaller than the sum of its proper divisors (271078877664).

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

96347645856 is a wasteful number, since it uses less digits than its factorization.

96347645856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 191 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 96347645856 in words is "ninety-six billion, three hundred forty-seven million, six hundred forty-five thousand, eight hundred fifty-six".