114950803968 has 1440 divisors, whose sum is σ = 471011853312. Its totient is φ = 27172454400.

The previous prime is 114950803937. The next prime is 114950803987. The reversal of 114950803968 is 869308059411.

114950803968 is a `hidden beast` number, since 1 + 1 + 49 + 508 + 0 + 3 + 96 + 8 = 666.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1619025373 + ... + 1619025443.

Almost surely, 2^114950803968 is an apocalyptic number.

114950803968 is a gapful number since it is divisible by the number (18) 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 114950803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235505926656).

114950803968 is an abundant number, since it is smaller than the sum of its proper divisors (356061049344).

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

114950803968 is an equidigital number, since it uses as much as digits as its factorization.

114950803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 114950803968 in words is "one hundred fourteen billion, nine hundred fifty million, eight hundred three thousand, nine hundred sixty-eight".