114858876240 has 240 divisors, whose sum is σ = 398534063616. Its totient is φ = 29614464000.

The previous prime is 114858876239. The next prime is 114858876241. The reversal of 114858876240 is 42678858411.

114858876240 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 8 + 8 + 7 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114858876239) and next prime (114858876241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×114858876240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114858876241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42428967 + ... + 42431673.

Almost surely, 2^114858876240 is an apocalyptic number.

114858876240 is a gapful number since it is divisible by the number (10) 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 114858876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199267031808).

114858876240 is an abundant number, since it is smaller than the sum of its proper divisors (283675187376).

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

114858876240 is a wasteful number, since it uses less digits than its factorization.

114858876240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 114858876240 in words is "one hundred fourteen billion, eight hundred fifty-eight million, eight hundred seventy-six thousand, two hundred forty".