114133162896 has 135 divisors (see below), whose sum is σ = 326900726971. Its totient is φ = 37172770752.

The previous prime is 114133162873. The next prime is 114133162907. The reversal of 114133162896 is 698261331411.

The square root of 114133162896 is 337836.

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

114133162896 is a `hidden beast` number, since 1 + 1 + 4 + 13 + 3 + 1 + 628 + 9 + 6 = 666.

It is a super-2 number, since 2×114133162896² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 190539205 + ... + 190539803.

Almost surely, 2^114133162896 is an apocalyptic number.

114133162896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114133162896 is the 337836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114133162896

114133162896 is an abundant number, since it is smaller than the sum of its proper divisors (212767564075).

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

114133162896 is an frugal number, since it uses more digits than its factorization.

114133162896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 651 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 114133162896 in words is "one hundred fourteen billion, one hundred thirty-three million, one hundred sixty-two thousand, eight hundred ninety-six".