114832734560 has 144 divisors (see below), whose sum is σ = 282515443056. Its totient is φ = 44104320000.

The previous prime is 114832734553. The next prime is 114832734581. The reversal of 114832734560 is 65437238411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20139710 + ... + 20145410.

It is an arithmetic number, because the mean of its divisors is an integer number (1961912799).

Almost surely, 2^114832734560 is an apocalyptic number.

114832734560 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 114832734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141257721528).

114832734560 is an abundant number, since it is smaller than the sum of its proper divisors (167682708496).

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

114832734560 is a wasteful number, since it uses less digits than its factorization.

114832734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 114832734560 in words is "one hundred fourteen billion, eight hundred thirty-two million, seven hundred thirty-four thousand, five hundred sixty".