6113988864 has 189 divisors, whose sum is σ = 18399423189. Its totient is φ = 2026736640.

The previous prime is 6113988773. The next prime is 6113988871. The reversal of 6113988864 is 4688893116.

The square root of 6113988864 is 78192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 6046617600 = 8208^2 + 77760^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6113988864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 33778854 + ... + 33779034.

Almost surely, 2^6113988864 is an apocalyptic number.

6113988864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6113988864 is the 78192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6113988864

6113988864 is an abundant number, since it is smaller than the sum of its proper divisors (12285434325).

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

6113988864 is an frugal number, since it uses more digits than its factorization.

6113988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 186 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The cubic root of 6113988864 is about 1828.5557861013. Note that the first 3 decimals are identical.

The spelling of 6113988864 in words is "six billion, one hundred thirteen million, nine hundred eighty-eight thousand, eight hundred sixty-four".