114670104192 has 768 divisors, whose sum is σ = 418608000000. Its totient is φ = 30745516032.

The previous prime is 114670104173. The next prime is 114670104203. The reversal of 114670104192 is 291401076411.

114670104192 is a `hidden beast` number, since 1 + 1 + 467 + 0 + 1 + 0 + 4 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229799559 + ... + 229800057.

It is an arithmetic number, because the mean of its divisors is an integer number (545062500).

Almost surely, 2^114670104192 is an apocalyptic number.

114670104192 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 114670104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000000).

114670104192 is an abundant number, since it is smaller than the sum of its proper divisors (303937895808).

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

114670104192 is a wasteful number, since it uses less digits than its factorization.

114670104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 114670104192 in words is "one hundred fourteen billion, six hundred seventy million, one hundred four thousand, one hundred ninety-two".