5613987456 has 384 divisors, whose sum is σ = 21207513600. Its totient is φ = 1381017600.

The previous prime is 5613987433. The next prime is 5613987517. The reversal of 5613987456 is 6547893165.

5613987456 is a `hidden beast` number, since 56 + 139 + 8 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5613987456² = 63033710312250703872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1683711 + ... + 1687041.

It is an arithmetic number, because the mean of its divisors is an integer number (55227900).

Almost surely, 2^5613987456 is an apocalyptic number.

5613987456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5613987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603756800).

5613987456 is an abundant number, since it is smaller than the sum of its proper divisors (15593526144).

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

5613987456 is a wasteful number, since it uses less digits than its factorization.

5613987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3373 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5613987456 is about 74926.5470711149. The cubic root of 5613987456 is about 1777.2852882657.

The spelling of 5613987456 in words is "five billion, six hundred thirteen million, nine hundred eighty-seven thousand, four hundred fifty-six".