11734816590 has 96 divisors (see below), whose sum is σ = 34906899456. Its totient is φ = 2679341760.

The previous prime is 11734816523. The next prime is 11734816699. The reversal of 11734816590 is 9561843711.

11734816590 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 48 + 16 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602139 + ... + 621321.

It is an arithmetic number, because the mean of its divisors is an integer number (363613536).

Almost surely, 2^11734816590 is an apocalyptic number.

11734816590 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 11734816590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453449728).

11734816590 is an abundant number, since it is smaller than the sum of its proper divisors (23172082866).

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

11734816590 is a wasteful number, since it uses less digits than its factorization.

11734816590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20174 (or 20171 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11734816590 in words is "eleven billion, seven hundred thirty-four million, eight hundred sixteen thousand, five hundred ninety".