114050206764 has 240 divisors, whose sum is σ = 345060400608. Its totient is φ = 32533788672.

The previous prime is 114050206763. The next prime is 114050206769. The reversal of 114050206764 is 467602050411.

114050206764 is a `hidden beast` number, since 1 + 140 + 502 + 0 + 6 + 7 + 6 + 4 = 666.

It is a super-2 number, since 2×114050206764² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114050206763) 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 79 ways as a sum of consecutive naturals, for example, 4785582 + ... + 4809354.

Almost surely, 2^114050206764 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 114050206764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172530200304).

114050206764 is an abundant number, since it is smaller than the sum of its proper divisors (231010193844).

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

114050206764 is a wasteful number, since it uses less digits than its factorization.

114050206764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23886 (or 23875 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 114050206764 in words is "one hundred fourteen billion, fifty million, two hundred six thousand, seven hundred sixty-four".