113535002510496 has 144 divisors (see below), whose sum is σ = 373434406398144. Its totient is φ = 32047745928192.

The previous prime is 113535002510477. The next prime is 113535002510519. The reversal of 113535002510496 is 694015200535311.

113535002510496 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 500 + 2 + 51 + 0 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 339091501 + ... + 339426156.

It is an arithmetic number, because the mean of its divisors is an integer number (2593294488876).

Almost surely, 2^{113535002510496} is an apocalyptic number.

113535002510496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113535002510496 is an abundant number, since it is smaller than the sum of its proper divisors (259899403887648).

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

113535002510496 is a wasteful number, since it uses less digits than its factorization.

113535002510496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678517763 (or 678517752 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 113535002510496 in words is "one hundred thirteen trillion, five hundred thirty-five billion, two million, five hundred ten thousand, four hundred ninety-six".