114406291688 has 128 divisors (see below), whose sum is σ = 247665600000. Its totient is φ = 49077190656.

The previous prime is 114406291633. The next prime is 114406291697. The reversal of 114406291688 is 886192604411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91597688 + ... + 91598936.

It is an arithmetic number, because the mean of its divisors is an integer number (1934887500).

Almost surely, 2^114406291688 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 114406291688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800000).

114406291688 is an abundant number, since it is smaller than the sum of its proper divisors (133259308312).

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

114406291688 is a wasteful number, since it uses less digits than its factorization.

114406291688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The spelling of 114406291688 in words is "one hundred fourteen billion, four hundred six million, two hundred ninety-one thousand, six hundred eighty-eight".