114792131663881 has 27 divisors (see below), whose sum is σ = 136105458797511. Its totient is φ = 96533436387024.

The previous prime is 114792131663843. The next prime is 114792131663887. The reversal of 114792131663881 is 188366131297411.

The square root of 114792131663881 is 10714109.

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., 82753316703225 + 32038814960656 = 9096885^2 + 5660284^2 .

It is not a de Polignac number, because 114792131663881 - 2⁹ = 114792131663369 is a prime.

It is a super-2 number, since 2×114792131663881² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114792131663887) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3974920000 + ... + 3974948878.

Almost surely, 2^{114792131663881} is an apocalyptic number.

114792131663881 is the 10714109-th square number.

114792131663881 is the 5357055-th centered octagonal number.

It is an amenable number.

114792131663881 is a deficient number, since it is larger than the sum of its proper divisors (21313327133630).

114792131663881 is an frugal number, since it uses more digits than its factorization.

114792131663881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57878 (or 28939 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 61.

The spelling of 114792131663881 in words is "one hundred fourteen trillion, seven hundred ninety-two billion, one hundred thirty-one million, six hundred sixty-three thousand, eight hundred eighty-one".