114657263753200 has 120 divisors (see below), whose sum is σ = 317933078793120. Its totient is φ = 38921843328000.

The previous prime is 114657263753117. The next prime is 114657263753231. The reversal of 114657263753200 is 2357362756411.

It is a congruent number.

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, 202435135 + ... + 203000734.

It is an arithmetic number, because the mean of its divisors is an integer number (2649442323276).

Almost surely, 2^{114657263753200} is an apocalyptic number.

114657263753200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114657263753200 is an abundant number, since it is smaller than the sum of its proper divisors (203275815039920).

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

114657263753200 is a wasteful number, since it uses less digits than its factorization.

114657263753200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405435995 (or 405435984 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 114657263753200 in words is "one hundred fourteen trillion, six hundred fifty-seven billion, two hundred sixty-three million, seven hundred fifty-three thousand, two hundred".