99313109073792 has 384 divisors, whose sum is σ = 306034673031360. Its totient is φ = 30803840925696.

The previous prime is 99313109073767. The next prime is 99313109073799. The reversal of 99313109073792 is 29737090131399.

99313109073792 is a `hidden beast` number, since 99 + 31 + 310 + 90 + 7 + 37 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99313109073799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236474018 + ... + 1236554334.

Almost surely, 2^{99313109073792} 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 99313109073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153017336515680).

99313109073792 is an abundant number, since it is smaller than the sum of its proper divisors (206721563957568).

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

99313109073792 is a wasteful number, since it uses less digits than its factorization.

99313109073792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81070 (or 81055 counting only the distinct ones).

The product of its (nonzero) digits is 17360406, while the sum is 63.

The spelling of 99313109073792 in words is "ninety-nine trillion, three hundred thirteen billion, one hundred nine million, seventy-three thousand, seven hundred ninety-two".