114716092590 has 128 divisors (see below), whose sum is σ = 333837504000. Its totient is φ = 27800133120.

The previous prime is 114716092571. The next prime is 114716092591. The reversal of 114716092590 is 95290617411.

114716092590 is a `hidden beast` number, since 1 + 1 + 47 + 16 + 0 + 9 + 2 + 590 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114716092591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11884086 + ... + 11893734.

It is an arithmetic number, because the mean of its divisors is an integer number (2608105500).

Almost surely, 2^114716092590 is an apocalyptic number.

114716092590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114716092590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166918752000).

114716092590 is an abundant number, since it is smaller than the sum of its proper divisors (219121411410).

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

114716092590 is a wasteful number, since it uses less digits than its factorization.

114716092590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13679 (or 13673 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 114716092590 in words is "one hundred fourteen billion, seven hundred sixteen million, ninety-two thousand, five hundred ninety".