99268293574656 has 720 divisors, whose sum is σ = 301624844399424. Its totient is φ = 32621362937856.

The previous prime is 99268293574633. The next prime is 99268293574669. The reversal of 99268293574656 is 65647539286299.

99268293574656 is a `hidden beast` number, since 9 + 9 + 2 + 68 + 2 + 93 + 5 + 7 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104823963175 + ... + 104823964121.

Almost surely, 2^{99268293574656} is an apocalyptic number.

99268293574656 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 99268293574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150812422199712).

99268293574656 is an abundant number, since it is smaller than the sum of its proper divisors (202356550824768).

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

99268293574656 is an equidigital number, since it uses as much as digits as its factorization.

99268293574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1298 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 99268293574656 in words is "ninety-nine trillion, two hundred sixty-eight billion, two hundred ninety-three million, five hundred seventy-four thousand, six hundred fifty-six".