114419937792 has 320 divisors, whose sum is σ = 338409840384. Its totient is φ = 34170470400.

The previous prime is 114419937781. The next prime is 114419937839. The reversal of 114419937792 is 297739914411.

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 31 ways as a sum of consecutive naturals, for example, 190382292 + ... + 190382892.

Almost surely, 2^114419937792 is an apocalyptic number.

114419937792 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 114419937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169204920192).

114419937792 is an abundant number, since it is smaller than the sum of its proper divisors (223989902592).

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

114419937792 is a wasteful number, since it uses less digits than its factorization.

114419937792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 963 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The spelling of 114419937792 in words is "one hundred fourteen billion, four hundred nineteen million, nine hundred thirty-seven thousand, seven hundred ninety-two".