5613852816 has 360 divisors, whose sum is σ = 18896263776. Its totient is φ = 1541928960.

The previous prime is 5613852809. The next prime is 5613852817. The reversal of 5613852816 is 6182583165.

5613852816 is a `hidden beast` number, since 5 + 613 + 8 + 5 + 28 + 1 + 6 = 666.

It is a super-2 number, since 2×5613852816² = 63030686879422259712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5613852817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17935476 + ... + 17935788.

Almost surely, 2^5613852816 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 5613852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448131888).

5613852816 is an abundant number, since it is smaller than the sum of its proper divisors (13282410960).

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

5613852816 is a wasteful number, since it uses less digits than its factorization.

5613852816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5613852816 is about 74925.6485857814. The cubic root of 5613852816 is about 1777.2710799687.

The spelling of 5613852816 in words is "five billion, six hundred thirteen million, eight hundred fifty-two thousand, eight hundred sixteen".