114187294080 has 512 divisors, whose sum is σ = 427326796800. Its totient is φ = 29117822976.

The previous prime is 114187294061. The next prime is 114187294097. The reversal of 114187294080 is 80492781411.

114187294080 is a `hidden beast` number, since 1 + 1 + 418 + 72 + 94 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 32190867 + ... + 32194413.

It is an arithmetic number, because the mean of its divisors is an integer number (834622650).

Almost surely, 2^114187294080 is an apocalyptic number.

114187294080 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 114187294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213663398400).

114187294080 is an abundant number, since it is smaller than the sum of its proper divisors (313139502720).

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

114187294080 is an frugal number, since it uses more digits than its factorization.

114187294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 114187294080 in words is "one hundred fourteen billion, one hundred eighty-seven million, two hundred ninety-four thousand, eighty".