5644461312 has 486 divisors, whose sum is σ = 20226779118. Its totient is φ = 1509064704.

The previous prime is 5644461301. The next prime is 5644461323. The reversal of 5644461312 is 2131644465.

5644461312 is a `hidden beast` number, since 5 + 644 + 4 + 6 + 1 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5644461301) and next prime (5644461323).

It can be written as a sum of positive squares in 3 ways, for example, as 3617300736 + 2027160576 = 60144^2 + 45024^2 .

It is a super-2 number, since 2×5644461312² = 63719887005329522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 53 ways as a sum of consecutive naturals, for example, 32626858 + ... + 32627030.

Almost surely, 2^5644461312 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 5644461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113389559).

5644461312 is an abundant number, since it is smaller than the sum of its proper divisors (14582317806).

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

5644461312 is a wasteful number, since it uses less digits than its factorization.

5644461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 202 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5644461312 is about 75129.6300536613. The cubic root of 5644461312 is about 1780.4953080226.

The spelling of 5644461312 in words is "five billion, six hundred forty-four million, four hundred sixty-one thousand, three hundred twelve".