5618958336 has 320 divisors, whose sum is σ = 17604011700. Its totient is φ = 1783627776.

The previous prime is 5618958281. The next prime is 5618958353. The reversal of 5618958336 is 6338598165.

5618958336 is a `hidden beast` number, since 56 + 1 + 8 + 9 + 583 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5607014400 + 11943936 = 74880^2 + 3456^2 .

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

Its product of digits (4665600) is a multiple of the sum of its prime factors (144).

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 19 ways as a sum of consecutive naturals, for example, 76971996 + ... + 76972068.

Almost surely, 2^5618958336 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 5618958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802005850).

5618958336 is an abundant number, since it is smaller than the sum of its proper divisors (11985053364).

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

5618958336 is an frugal number, since it uses more digits than its factorization.

5618958336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 5618958336 is about 74959.7114188682. The cubic root of 5618958336 is about 1777.8096966121.

The spelling of 5618958336 in words is "five billion, six hundred eighteen million, nine hundred fifty-eight thousand, three hundred thirty-six".