114959997363600 has 405 divisors, whose sum is σ = 403995220899907. Its totient is φ = 30272582722560.

The previous prime is 114959997363587. The next prime is 114959997363619. The reversal of 114959997363600 is 6363799959411.

The square root of 114959997363600 is 10721940.

It is a perfect power (a square), and thus also a powerful number.

114959997363600 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 9 + 9 + 9 + 7 + 3 + 6 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42339331169424 + 72620666194176 = 6506868^2 + 8521776^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53395260124 + ... + 53395262276.

Almost surely, 2^{114959997363600} is an apocalyptic number.

114959997363600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114959997363600 is the 10721940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114959997363600

114959997363600 is an abundant number, since it is smaller than the sum of its proper divisors (289035223536307).

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

114959997363600 is an frugal number, since it uses more digits than its factorization.

114959997363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 114959997363600 in words is "one hundred fourteen trillion, nine hundred fifty-nine billion, nine hundred ninety-seven million, three hundred sixty-three thousand, six hundred".