114136564297000 has 128 divisors (see below), whose sum is σ = 305238812336640. Its totient is φ = 39131891596800.

The previous prime is 114136564296967. The next prime is 114136564297061. The reversal of 114136564297000 is 792465631411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648441004 + ... + 648616996.

It is an arithmetic number, because the mean of its divisors is an integer number (2384678221380).

Almost surely, 2^{114136564297000} is an apocalyptic number.

114136564297000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114136564297000 is an abundant number, since it is smaller than the sum of its proper divisors (191102248039640).

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

114136564297000 is a wasteful number, since it uses less digits than its factorization.

114136564297000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268668 (or 268654 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 114136564297000 in words is "one hundred fourteen trillion, one hundred thirty-six billion, five hundred sixty-four million, two hundred ninety-seven thousand".