114049373256 has 192 divisors, whose sum is σ = 380352510720. Its totient is φ = 30064089600.

The previous prime is 114049373239. The next prime is 114049373281. The reversal of 114049373256 is 652373940411.

114049373256 is a `hidden beast` number, since 1 + 1 + 40 + 493 + 73 + 2 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21310981 + ... + 21316331.

It is an arithmetic number, because the mean of its divisors is an integer number (1981002660).

Almost surely, 2^114049373256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114049373256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190176255360).

114049373256 is an abundant number, since it is smaller than the sum of its proper divisors (266303137464).

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

114049373256 is a wasteful number, since it uses less digits than its factorization.

114049373256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 114049373256 in words is "one hundred fourteen billion, forty-nine million, three hundred seventy-three thousand, two hundred fifty-six".