114394434998976 has 280 divisors, whose sum is σ = 386012143782144. Its totient is φ = 33157806865920.

The previous prime is 114394434998971. The next prime is 114394434999043. The reversal of 114394434998976 is 679899434493411.

114394434998976 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 9 + 4 + 43 + 499 + 89 + 7 + 6 = 666.

It is a super-3 number, since 3×114394434998976³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 114394434998895 and 114394434998904.

It is not an unprimeable number, because it can be changed into a prime (114394434998971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42298780 + ... + 44921883.

Almost surely, 2^{114394434998976} is an apocalyptic number.

114394434998976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114394434998976 is an abundant number, since it is smaller than the sum of its proper divisors (271617708783168).

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

114394434998976 is a wasteful number, since it uses less digits than its factorization.

114394434998976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87220721 (or 87220702 counting only the distinct ones).

The product of its digits is 5079158784, while the sum is 81.

The spelling of 114394434998976 in words is "one hundred fourteen trillion, three hundred ninety-four billion, four hundred thirty-four million, nine hundred ninety-eight thousand, nine hundred seventy-six".