114768855040 has 480 divisors, whose sum is σ = 340520955264. Its totient is φ = 36238786560.

The previous prime is 114768854939. The next prime is 114768855079. The reversal of 114768855040 is 40558867411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594657184 + ... + 594657376.

Almost surely, 2^114768855040 is an apocalyptic number.

114768855040 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 114768855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170260477632).

114768855040 is an abundant number, since it is smaller than the sum of its proper divisors (225752100224).

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

114768855040 is an equidigital number, since it uses as much as digits as its factorization.

114768855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 114768855040 in words is "one hundred fourteen billion, seven hundred sixty-eight million, eight hundred fifty-five thousand, forty".