114052072068 has 108 divisors (see below), whose sum is σ = 317200846144. Its totient is φ = 34527319200.

The previous prime is 114052072063. The next prime is 114052072091. The reversal of 114052072068 is 860270250411.

114052072068 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 520 + 72 + 0 + 68 = 666.

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 (114052072063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4618113 + ... + 4642743.

Almost surely, 2^114052072068 is an apocalyptic number.

114052072068 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 114052072068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158600423072).

114052072068 is an abundant number, since it is smaller than the sum of its proper divisors (203148774076).

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

114052072068 is a wasteful number, since it uses less digits than its factorization.

114052072068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25726 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 114052072068 in words is "one hundred fourteen billion, fifty-two million, seventy-two thousand, sixty-eight".