114910532768 has 96 divisors (see below), whose sum is σ = 243193466880. Its totient is φ = 53252075520.

The previous prime is 114910532767. The next prime is 114910532773. The reversal of 114910532768 is 867235019411.

It is not an unprimeable number, because it can be changed into a prime (114910532767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64230818 + ... + 64232606.

It is an arithmetic number, because the mean of its divisors is an integer number (2533265280).

It is a 1-persistent number, because it is pandigital, but 2⋅114910532768 = 229821065536 is not.

Almost surely, 2^114910532768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114910532768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121596733440).

114910532768 is an abundant number, since it is smaller than the sum of its proper divisors (128282934112).

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

114910532768 is a wasteful number, since it uses less digits than its factorization.

114910532768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 114910532768 in words is "one hundred fourteen billion, nine hundred ten million, five hundred thirty-two thousand, seven hundred sixty-eight".