114094964772 has 84 divisors (see below), whose sum is σ = 316972024236. Its totient is φ = 35794483200.

The previous prime is 114094964759. The next prime is 114094964773. The reversal of 114094964772 is 277469490411.

114094964772 is a `hidden beast` number, since 1 + 1 + 40 + 9 + 496 + 47 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36935458596 + 77159506176 = 192186^2 + 277776^2 .

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 (114094964773) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1101229 + ... + 1200372.

It is an arithmetic number, because the mean of its divisors is an integer number (3773476479).

Almost surely, 2^114094964772 is an apocalyptic number.

114094964772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114094964772 is an abundant number, since it is smaller than the sum of its proper divisors (202877059464).

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

114094964772 is a wasteful number, since it uses less digits than its factorization.

114094964772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301640 (or 2301623 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 114094964772 in words is "one hundred fourteen billion, ninety-four million, nine hundred sixty-four thousand, seven hundred seventy-two".