114811867920 has 160 divisors (see below), whose sum is σ = 366049107072. Its totient is φ = 29752160256.

The previous prime is 114811867861. The next prime is 114811867943. The reversal of 114811867920 is 29768118411.

It is a Cunningham number, because it is equal to 338839²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 114811867920.

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, 2004804 + ... + 2061276.

Almost surely, 2^114811867920 is an apocalyptic number.

114811867920 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 114811867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183024553536).

114811867920 is an abundant number, since it is smaller than the sum of its proper divisors (251237239152).

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

114811867920 is a wasteful number, since it uses less digits than its factorization.

114811867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56729 (or 56723 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 114811867920 in words is "one hundred fourteen billion, eight hundred eleven million, eight hundred sixty-seven thousand, nine hundred twenty".