114381444768 has 96 divisors (see below), whose sum is σ = 304107955200. Its totient is φ = 37638141696.

The previous prime is 114381444761. The next prime is 114381444773. The reversal of 114381444768 is 867444183411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114381444768² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114381444768.

It is not an unprimeable number, because it can be changed into a prime (114381444761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11620393 + ... + 11630231.

It is an arithmetic number, because the mean of its divisors is an integer number (3167791200).

Almost surely, 2^114381444768 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 114381444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152053977600).

114381444768 is an abundant number, since it is smaller than the sum of its proper divisors (189726510432).

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

114381444768 is a wasteful number, since it uses less digits than its factorization.

114381444768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11394 (or 11386 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 114381444768 in words is "one hundred fourteen billion, three hundred eighty-one million, four hundred forty-four thousand, seven hundred sixty-eight".