613104908562432 has 1248 divisors, whose sum is σ = 2167109472174080. Its totient is φ = 170141368320000.

The previous prime is 613104908562413. The next prime is 613104908562449. The reversal of 613104908562432 is 234265809401316.

It is a happy number.

613104908562432 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 0 + 4 + 9 + 0 + 8 + 5 + 624 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22093060557 + ... + 22093088307.

Almost surely, 2^{613104908562432} 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 613104908562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083554736087040).

613104908562432 is an abundant number, since it is smaller than the sum of its proper divisors (1554004563611648).

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

613104908562432 is a wasteful number, since it uses less digits than its factorization.

613104908562432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27946 (or 27907 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 613104908562432 in words is "six hundred thirteen trillion, one hundred four billion, nine hundred eight million, five hundred sixty-two thousand, four hundred thirty-two".