114397546700736 has 672 divisors, whose sum is σ = 365774412407040. Its totient is φ = 33964871270400.

The previous prime is 114397546700719. The next prime is 114397546700741. The reversal of 114397546700736 is 637007645793411.

114397546700736 is a `hidden beast` number, since 1 + 1 + 4 + 39 + 75 + 467 + 0 + 0 + 73 + 6 = 666.

It is a super-2 number, since 2×114397546700736² (a number of 29 digits) contains 22 as substring.

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, 6804913771 + ... + 6804930581.

It is an arithmetic number, because the mean of its divisors is an integer number (544307161320).

Almost surely, 2^{114397546700736} is an apocalyptic number.

114397546700736 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 114397546700736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182887206203520).

114397546700736 is an abundant number, since it is smaller than the sum of its proper divisors (251376865706304).

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

114397546700736 is a wasteful number, since it uses less digits than its factorization.

114397546700736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17185 (or 17172 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 114397546700736 in words is "one hundred fourteen trillion, three hundred ninety-seven billion, five hundred forty-six million, seven hundred thousand, seven hundred thirty-six".