248190812136 has 96 divisors (see below), whose sum is σ = 700793739360. Its totient is φ = 79281611136.

The previous prime is 248190812087. The next prime is 248190812153. The reversal of 248190812136 is 631218091842.

248190812136 is a `hidden beast` number, since 2 + 481 + 90 + 81 + 2 + 1 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248190812091 and 248190812100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592186 + ... + 920361.

It is an arithmetic number, because the mean of its divisors is an integer number (7299934785).

Almost surely, 2^248190812136 is an apocalyptic number.

It is an amenable number.

248190812136 is an abundant number, since it is smaller than the sum of its proper divisors (452602927224).

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

248190812136 is a wasteful number, since it uses less digits than its factorization.

248190812136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512655 (or 1512648 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 248190812136 in words is "two hundred forty-eight billion, one hundred ninety million, eight hundred twelve thousand, one hundred thirty-six".