5111444736 has 252 divisors, whose sum is σ = 15582791700. Its totient is φ = 1672151040.

The previous prime is 5111444729. The next prime is 5111444747. The reversal of 5111444736 is 6374441115.

It can be written as a sum of positive squares in 2 ways, for example, as 1348358400 + 3763086336 = 36720^2 + 61344^2 .

It is a super-2 number, since 2×5111444736² = 52253734578364219392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5111444736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11383840 + ... + 11384288.

It is an arithmetic number, because the mean of its divisors is an integer number (61836475).

Almost surely, 2^5111444736 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 5111444736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791395850).

5111444736 is an abundant number, since it is smaller than the sum of its proper divisors (10471346964).

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

5111444736 is an frugal number, since it uses more digits than its factorization.

5111444736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 515 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5111444736 is about 71494.3685614469. The cubic root of 5111444736 is about 1722.5872294595.

The spelling of 5111444736 in words is "five billion, one hundred eleven million, four hundred forty-four thousand, seven hundred thirty-six".