114560417664 has 768 divisors, whose sum is σ = 440260853760. Its totient is φ = 28777420800.

The previous prime is 114560417599. The next prime is 114560417677. The reversal of 114560417664 is 466714065411.

114560417664 is a `hidden beast` number, since 1 + 14 + 560 + 4 + 1 + 76 + 6 + 4 = 666.

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, 74244477 + ... + 74246019.

It is an arithmetic number, because the mean of its divisors is an integer number (573256320).

Almost surely, 2^114560417664 is an apocalyptic number.

114560417664 is a gapful number since it is divisible by the number (14) 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 114560417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220130426880).

114560417664 is an abundant number, since it is smaller than the sum of its proper divisors (325700436096).

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

114560417664 is a wasteful number, since it uses less digits than its factorization.

114560417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 114560417664 in words is "one hundred fourteen billion, five hundred sixty million, four hundred seventeen thousand, six hundred sixty-four".