114010898976 has 576 divisors, whose sum is σ = 378520128000. Its totient is φ = 33331544064.

The previous prime is 114010898959. The next prime is 114010898977. The reversal of 114010898976 is 679898010411.

114010898976 is a `hidden beast` number, since 11 + 401 + 0 + 89 + 89 + 76 = 666.

114010898976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (114010898977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253921600 + ... + 253922048.

It is an arithmetic number, because the mean of its divisors is an integer number (657153000).

Almost surely, 2^114010898976 is an apocalyptic number.

114010898976 is a gapful number since it is divisible by the number (16) 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 114010898976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189260064000).

114010898976 is an abundant number, since it is smaller than the sum of its proper divisors (264509229024).

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

114010898976 is a wasteful number, since it uses less digits than its factorization.

114010898976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 114010898976 in words is "one hundred fourteen billion, ten million, eight hundred ninety-eight thousand, nine hundred seventy-six".