114763124320 has 96 divisors (see below), whose sum is σ = 292068231840. Its totient is φ = 42361835520.

The previous prime is 114763124269. The next prime is 114763124327. The reversal of 114763124320 is 23421367411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114763124327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10563051 + ... + 10573909.

It is an arithmetic number, because the mean of its divisors is an integer number (3042377415).

Almost surely, 2^114763124320 is an apocalyptic number.

114763124320 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 114763124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146034115920).

114763124320 is an abundant number, since it is smaller than the sum of its proper divisors (177305107520).

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

114763124320 is a wasteful number, since it uses less digits than its factorization.

114763124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15968 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 114763124320 in words is "one hundred fourteen billion, seven hundred sixty-three million, one hundred twenty-four thousand, three hundred twenty".