114851133563904 has 308 divisors, whose sum is σ = 344285217562560. Its totient is φ = 38277313966080.

The previous prime is 114851133563891. The next prime is 114851133563909. The reversal of 114851133563904 is 409365331158411.

114851133563904 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 511 + 3 + 35 + 6 + 3 + 90 + 4 = 666.

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 (114851133563909) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 7076027469 + ... + 7076043699.

Almost surely, 2^{114851133563904} 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 114851133563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172142608781280).

114851133563904 is an abundant number, since it is smaller than the sum of its proper divisors (229434083998656).

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

114851133563904 is an frugal number, since it uses more digits than its factorization.

114851133563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25748 (or 25715 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 114851133563904 in words is "one hundred fourteen trillion, eight hundred fifty-one billion, one hundred thirty-three million, five hundred sixty-three thousand, nine hundred four".