114331875840 has 1600 divisors, whose sum is σ = 517060406016. Its totient is φ = 23505666048.

The previous prime is 114331875821. The next prime is 114331875877. The reversal of 114331875840 is 48578133411.

114331875840 is a `hidden beast` number, since 11 + 43 + 3 + 18 + 7 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1377492439 + ... + 1377492521.

Almost surely, 2^114331875840 is an apocalyptic number.

114331875840 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 114331875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258530203008).

114331875840 is an abundant number, since it is smaller than the sum of its proper divisors (402728530176).

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

114331875840 is an equidigital number, since it uses as much as digits as its factorization.

114331875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 114331875840 in words is "one hundred fourteen billion, three hundred thirty-one million, eight hundred seventy-five thousand, eight hundred forty".