93912016896 has 240 divisors, whose sum is σ = 297017540820. Its totient is φ = 29461708800.

The previous prime is 93912016883. The next prime is 93912016901. The reversal of 93912016896 is 69861021939.

93912016896 is a `hidden beast` number, since 9 + 391 + 2 + 0 + 168 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88851686400 + 5060330496 = 298080^2 + 71136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 2803446 + ... + 2836746.

Almost surely, 2^93912016896 is an apocalyptic number.

93912016896 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 93912016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148508770410).

93912016896 is an abundant number, since it is smaller than the sum of its proper divisors (203105523924).

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

93912016896 is a wasteful number, since it uses less digits than its factorization.

93912016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33352 (or 33323 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 93912016896 in words is "ninety-three billion, nine hundred twelve million, sixteen thousand, eight hundred ninety-six".