114258686976 has 792 divisors, whose sum is σ = 414339656640. Its totient is φ = 29620961280.

The previous prime is 114258686953. The next prime is 114258687017. The reversal of 114258686976 is 679686852411.

114258686976 is a `hidden beast` number, since 1 + 1 + 42 + 586 + 8 + 6 + 9 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1177924560 + ... + 1177924656.

Almost surely, 2^114258686976 is an apocalyptic number.

114258686976 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 114258686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207169828320).

114258686976 is an abundant number, since it is smaller than the sum of its proper divisors (300080969664).

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

114258686976 is a wasteful number, since it uses less digits than its factorization.

114258686976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 159 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 114258686976 in words is "one hundred fourteen billion, two hundred fifty-eight million, six hundred eighty-six thousand, nine hundred seventy-six".