99949162394016 has 576 divisors, whose sum is σ = 331551511079040. Its totient is φ = 29116016455680.

The previous prime is 99949162393999. The next prime is 99949162394021. The reversal of 99949162394016 is 61049326194999.

99949162394016 is a `hidden beast` number, since 9 + 9 + 9 + 491 + 62 + 39 + 40 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6978221031 + ... + 6978235353.

It is an arithmetic number, because the mean of its divisors is an integer number (575610262290).

Almost surely, 2^{99949162394016} is an apocalyptic number.

99949162394016 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 99949162394016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165775755539520).

99949162394016 is an abundant number, since it is smaller than the sum of its proper divisors (231602348685024).

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

99949162394016 is a wasteful number, since it uses less digits than its factorization.

99949162394016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114 (or 16081 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 99949162394016 in words is "ninety-nine trillion, nine hundred forty-nine billion, one hundred sixty-two million, three hundred ninety-four thousand, sixteen".