99712456704 has 1008 divisors, whose sum is σ = 367376536800. Its totient is φ = 26921631744.

The previous prime is 99712456661. The next prime is 99712456717. The reversal of 99712456704 is 40765421799.

99712456704 is a `hidden beast` number, since 9 + 9 + 71 + 2 + 4 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2121541609 + ... + 2121541655.

It is an arithmetic number, because the mean of its divisors is an integer number (364460850).

Almost surely, 2^99712456704 is an apocalyptic number.

99712456704 is a gapful number since it is divisible by the number (94) 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 99712456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183688268400).

99712456704 is an abundant number, since it is smaller than the sum of its proper divisors (267664080096).

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

99712456704 is an equidigital number, since it uses as much as digits as its factorization.

99712456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 99712456704 in words is "ninety-nine billion, seven hundred twelve million, four hundred fifty-six thousand, seven hundred four".