2353616496 has 360 divisors, whose sum is σ = 8644446720. Its totient is φ = 584052480.

The previous prime is 2353616483. The next prime is 2353616501. The reversal of 2353616496 is 6946163532.

2353616496 is a `hidden beast` number, since 23 + 5 + 3 + 616 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×2353616496² = 11079021220486636032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2804845 + ... + 2805683.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^2353616496 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 2353616496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322223360).

2353616496 is an abundant number, since it is smaller than the sum of its proper divisors (6290830224).

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

2353616496 is a wasteful number, since it uses less digits than its factorization.

2353616496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 885 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 2353616496 is about 48514.0855422423. The cubic root of 2353616496 is about 1330.1845516229.

The spelling of 2353616496 in words is "two billion, three hundred fifty-three million, six hundred sixteen thousand, four hundred ninety-six".