613611616352 has 144 divisors (see below), whose sum is σ = 1415639423520. Its totient is φ = 261042388992.

The previous prime is 613611616291. The next prime is 613611616391. The reversal of 613611616352 is 253616116316.

It is a super-2 number, since 2×613611616352² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290397248 + ... + 290399360.

It is an arithmetic number, because the mean of its divisors is an integer number (9830829330).

Almost surely, 2^613611616352 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 613611616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707819711760).

613611616352 is an abundant number, since it is smaller than the sum of its proper divisors (802027807168).

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

613611616352 is a wasteful number, since it uses less digits than its factorization.

613611616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3398 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The spelling of 613611616352 in words is "six hundred thirteen billion, six hundred eleven million, six hundred sixteen thousand, three hundred fifty-two".