114180265680 has 160 divisors (see below), whose sum is σ = 384961610880. Its totient is φ = 27827558400.

The previous prime is 114180265663. The next prime is 114180265681. The reversal of 114180265680 is 86562081411.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114180265681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133951 + ... + 496289.

It is an arithmetic number, because the mean of its divisors is an integer number (2406010068).

Almost surely, 2^114180265680 is an apocalyptic number.

114180265680 is a gapful number since it is divisible by the number (10) 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 114180265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192480805440).

114180265680 is an abundant number, since it is smaller than the sum of its proper divisors (270781345200).

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

114180265680 is a wasteful number, since it uses less digits than its factorization.

114180265680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362469 (or 362463 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 114180265680 in words is "one hundred fourteen billion, one hundred eighty million, two hundred sixty-five thousand, six hundred eighty".