114909965121600 has 504 divisors, whose sum is σ = 460909652037120. Its totient is φ = 26896375296000.

The previous prime is 114909965121593. The next prime is 114909965121607. The reversal of 114909965121600 is 6121569909411.

114909965121600 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 0 + 9 + 9 + 6 + 5 + 1 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (114909965121593) and next prime (114909965121607).

It is not an unprimeable number, because it can be changed into a prime (114909965121607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7914016 + ... + 17101215.

Almost surely, 2^{114909965121600} is an apocalyptic number.

114909965121600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114909965121600 is an abundant number, since it is smaller than the sum of its proper divisors (345999686915520).

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

114909965121600 is a wasteful number, since it uses less digits than its factorization.

114909965121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25015299 (or 25015281 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 114909965121600 in words is "one hundred fourteen trillion, nine hundred nine billion, nine hundred sixty-five million, one hundred twenty-one thousand, six hundred".