114458087768800 has 36 divisors (see below), whose sum is σ = 279420806767536. Its totient is φ = 45783235107200.

The previous prime is 114458087768771. The next prime is 114458087768873. The reversal of 114458087768800 is 8867780854411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71536304056 + ... + 71536305655.

It is an arithmetic number, because the mean of its divisors is an integer number (7761689076876).

Almost surely, 2^{114458087768800} is an apocalyptic number.

114458087768800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114458087768800 is an abundant number, since it is smaller than the sum of its proper divisors (164962718998736).

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

114458087768800 is a wasteful number, since it uses less digits than its factorization.

114458087768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143072609731 (or 143072609718 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 67.

The spelling of 114458087768800 in words is "one hundred fourteen trillion, four hundred fifty-eight billion, eighty-seven million, seven hundred sixty-eight thousand, eight hundred".