114880923192 has 256 divisors, whose sum is σ = 349892812800. Its totient is φ = 30735728640.

The previous prime is 114880923127. The next prime is 114880923251. The reversal of 114880923192 is 291329088411.

It is a happy number.

114880923192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37188784 + ... + 37191872.

It is an arithmetic number, because the mean of its divisors is an integer number (1366768800).

Almost surely, 2^114880923192 is an apocalyptic number.

114880923192 is a gapful number since it is divisible by the number (12) 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 114880923192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174946406400).

114880923192 is an abundant number, since it is smaller than the sum of its proper divisors (235011889608).

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

114880923192 is a wasteful number, since it uses less digits than its factorization.

114880923192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 114880923192 in words is "one hundred fourteen billion, eight hundred eighty million, nine hundred twenty-three thousand, one hundred ninety-two".