93648446856 has 192 divisors, whose sum is σ = 283599014400. Its totient is φ = 27743606784.

The previous prime is 93648446833. The next prime is 93648446863. The reversal of 93648446856 is 65864484639.

93648446856 is a `hidden beast` number, since 9 + 36 + 484 + 46 + 85 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 93648446793 and 93648446802.

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 47 ways as a sum of consecutive naturals, for example, 7365801 + ... + 7378503.

It is an arithmetic number, because the mean of its divisors is an integer number (1477078200).

Almost surely, 2^93648446856 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 93648446856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141799507200).

93648446856 is an abundant number, since it is smaller than the sum of its proper divisors (189950567544).

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

93648446856 is a wasteful number, since it uses less digits than its factorization.

93648446856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068 (or 13061 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 93648446856 in words is "ninety-three billion, six hundred forty-eight million, four hundred forty-six thousand, eight hundred fifty-six".