114291601025625 has 45 divisors (see below), whose sum is σ = 206295247287129. Its totient is φ = 60955092918000.

The previous prime is 114291601025513. The next prime is 114291601025629. The reversal of 114291601025625 is 526520106192411.

The square root of 114291601025625 is 10690725.

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

114291601025625 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 9 + 1 + 6 + 0 + 10 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8960461520409 + 105331139505216 = 2993403^2 + 10263096^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 114291601025625 - 2²¹ = 114291598928473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114291601025629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 801733104 + ... + 801875646.

Almost surely, 2^{114291601025625} is an apocalyptic number.

114291601025625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114291601025625 is the 10690725-th square number.

114291601025625 is the 5345363-rd centered octagonal number.

It is an amenable number.

114291601025625 is a deficient number, since it is larger than the sum of its proper divisors (92003646261504).

114291601025625 is an frugal number, since it uses more digits than its factorization.

114291601025625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285112 (or 142551 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 114291601025625 in words is "one hundred fourteen trillion, two hundred ninety-one billion, six hundred one million, twenty-five thousand, six hundred twenty-five".