13598590464 has 240 divisors, whose sum is σ = 41189024448. Its totient is φ = 4313972736.

The previous prime is 13598590459. The next prime is 13598590469. The reversal of 13598590464 is 46409589531.

13598590464 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 8 + 590 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13598590459) and next prime (13598590469).

It is a self number, because there is not a number n which added to its sum of digits gives 13598590464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13598590469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8012464 + ... + 8014160.

Almost surely, 2^13598590464 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 13598590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20594512224).

13598590464 is an abundant number, since it is smaller than the sum of its proper divisors (27590433984).

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

13598590464 is a wasteful number, since it uses less digits than its factorization.

13598590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 13598590464 in words is "thirteen billion, five hundred ninety-eight million, five hundred ninety thousand, four hundred sixty-four".