101234774053008 has 120 divisors (see below), whose sum is σ = 286958571988088. Its totient is φ = 33312913514496.

The previous prime is 101234774052989. The next prime is 101234774053019. The reversal of 101234774053008 is 800350477432101.

101234774053008 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 4 + 77 + 40 + 530 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10112323680144 + 91122450372864 = 3179988^2 + 9545808^2 .

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, 3582691 + ... + 14673282.

Almost surely, 2^{101234774053008} is an apocalyptic number.

101234774053008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101234774053008 is an abundant number, since it is smaller than the sum of its proper divisors (185723797935080).

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

101234774053008 is a wasteful number, since it uses less digits than its factorization.

101234774053008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18256481 (or 18256472 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 101234774053008 in words is "one hundred one trillion, two hundred thirty-four billion, seven hundred seventy-four million, fifty-three thousand, eight".