114495616843776 has 432 divisors, whose sum is σ = 400252548818304. Its totient is φ = 30788699553792.

The previous prime is 114495616843733. The next prime is 114495616843807. The reversal of 114495616843776 is 677348616594411.

114495616843776 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 9 + 5 + 61 + 68 + 437 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139970301 + ... + 140785923.

It is an arithmetic number, because the mean of its divisors is an integer number (926510529672).

Almost surely, 2^{114495616843776} is an apocalyptic number.

114495616843776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114495616843776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200126274409152).

114495616843776 is an abundant number, since it is smaller than the sum of its proper divisors (285756931974528).

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

114495616843776 is an frugal number, since it uses more digits than its factorization.

114495616843776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815687 (or 815652 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 114495616843776 in words is "one hundred fourteen trillion, four hundred ninety-five billion, six hundred sixteen million, eight hundred forty-three thousand, seven hundred seventy-six".