114389070768 has 180 divisors, whose sum is σ = 372789008280. Its totient is φ = 32648168448.

The previous prime is 114389070701. The next prime is 114389070779. The reversal of 114389070768 is 867070983411.

It is a super-2 number, since 2×114389070768² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7111471 + ... + 7127537.

It is an arithmetic number, because the mean of its divisors is an integer number (2071050046).

Almost surely, 2^114389070768 is an apocalyptic number.

114389070768 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 114389070768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186394504140).

114389070768 is an abundant number, since it is smaller than the sum of its proper divisors (258399937512).

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

114389070768 is a wasteful number, since it uses less digits than its factorization.

114389070768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17104 (or 17088 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 114389070768 in words is "one hundred fourteen billion, three hundred eighty-nine million, seventy thousand, seven hundred sixty-eight".