114987876097600 has 189 divisors, whose sum is σ = 311015172177073. Its totient is φ = 41812057408000.

The previous prime is 114987876097487. The next prime is 114987876097631. The reversal of 114987876097600 is 6790678789411.

The square root of 114987876097600 is 10723240.

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

It can be written as a sum of positive squares in only one way, i.e., 41395635395136 + 73592240702464 = 6433944^2 + 8578592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4718213415 + ... + 4718237785.

Almost surely, 2^{114987876097600} is an apocalyptic number.

114987876097600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114987876097600 is the 10723240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114987876097600

114987876097600 is an abundant number, since it is smaller than the sum of its proper divisors (196027296079473).

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

114987876097600 is an frugal number, since it uses more digits than its factorization.

114987876097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48786 (or 24389 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 73.

The spelling of 114987876097600 in words is "one hundred fourteen trillion, nine hundred eighty-seven billion, eight hundred seventy-six million, ninety-seven thousand, six hundred".