114767696736 has 576 divisors, whose sum is σ = 430004090880. Its totient is φ = 28162068480.

The previous prime is 114767696671. The next prime is 114767696759. The reversal of 114767696736 is 637696767411.

114767696736 is a `hidden beast` number, since 1 + 1 + 476 + 7 + 6 + 96 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30223990 + ... + 30227786.

It is an arithmetic number, because the mean of its divisors is an integer number (746534880).

Almost surely, 2^114767696736 is an apocalyptic number.

114767696736 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 114767696736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215002045440).

114767696736 is an abundant number, since it is smaller than the sum of its proper divisors (315236394144).

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

114767696736 is a wasteful number, since it uses less digits than its factorization.

114767696736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3896 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 114767696736 in words is "one hundred fourteen billion, seven hundred sixty-seven million, six hundred ninety-six thousand, seven hundred thirty-six".