114807841625664 has 336 divisors, whose sum is σ = 376958831999040. Its totient is φ = 33981168936960.

The previous prime is 114807841625663. The next prime is 114807841625671. The reversal of 114807841625664 is 466526148708411.

It is a happy number.

114807841625664 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 0 + 7 + 8 + 4 + 1 + 62 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (114807841625663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33512484 + ... + 36779100.

Almost surely, 2^{114807841625664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114807841625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188479415999520).

114807841625664 is an abundant number, since it is smaller than the sum of its proper divisors (262150990373376).

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

114807841625664 is a wasteful number, since it uses less digits than its factorization.

114807841625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266735 (or 3266676 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 114807841625664 in words is "one hundred fourteen trillion, eight hundred seven billion, eight hundred forty-one million, six hundred twenty-five thousand, six hundred sixty-four".