114947881890625 has 63 divisors (see below), whose sum is σ = 167155106305221. Its totient is φ = 78814971900000.

The previous prime is 114947881890619. The next prime is 114947881890629. The reversal of 114947881890625 is 526098188749411.

The square root of 114947881890625 is 10721375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 94251496639041 + 20696385251584 = 9708321^2 + 4549328^2 .

It is not a de Polignac number, because 114947881890625 - 2¹¹ = 114947881888577 is a prime.

It is a super-2 number, since 2×114947881890625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114947881890629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9381196999 + ... + 9381209251.

Almost surely, 2^{114947881890625} is an apocalyptic number.

114947881890625 is the 10721375-th square number.

114947881890625 is the 5360688-th centered octagonal number.

It is an amenable number.

114947881890625 is a deficient number, since it is larger than the sum of its proper divisors (52207224414596).

114947881890625 is an frugal number, since it uses more digits than its factorization.

114947881890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24550 (or 12265 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 73.

The spelling of 114947881890625 in words is "one hundred fourteen trillion, nine hundred forty-seven billion, eight hundred eighty-one million, eight hundred ninety thousand, six hundred twenty-five".