8101354293792 has 72 divisors (see below), whose sum is σ = 24393416068476. Its totient is φ = 2541601345536.

The previous prime is 8101354293749. The next prime is 8101354293827. The reversal of 8101354293792 is 2973924531018.

8101354293792 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 3 + 542 + 9 + 3 + 7 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7634367937296 + 466986356496 = 2763036^2 + 683364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 827339293 + ... + 827349084.

Almost surely, 2^{8101354293792} is an apocalyptic number.

It is an amenable number.

8101354293792 is an abundant number, since it is smaller than the sum of its proper divisors (16292061774684).

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

8101354293792 is a wasteful number, since it uses less digits than its factorization.

8101354293792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654688410 (or 1654688399 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 8101354293792 in words is "eight trillion, one hundred one billion, three hundred fifty-four million, two hundred ninety-three thousand, seven hundred ninety-two".