114261326664 has 128 divisors (see below), whose sum is σ = 306711878400. Its totient is φ = 35388953600.

The previous prime is 114261326629. The next prime is 114261326681. The reversal of 114261326664 is 466623162411.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 2935522 + ... + 2974190.

It is an arithmetic number, because the mean of its divisors is an integer number (2396186550).

Almost surely, 2^114261326664 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 114261326664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153355939200).

114261326664 is an abundant number, since it is smaller than the sum of its proper divisors (192450551736).

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

114261326664 is a wasteful number, since it uses less digits than its factorization.

114261326664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38855 (or 38851 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 114261326664 in words is "one hundred fourteen billion, two hundred sixty-one million, three hundred twenty-six thousand, six hundred sixty-four".