36444306495744 has 1215 divisors, whose sum is σ = 129992854634643. Its totient is φ = 10125784940544.

The previous prime is 36444306495703. The next prime is 36444306495763. The reversal of 36444306495744 is 44759460344463.

The square root of 36444306495744 is 6036912.

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

36444306495744 is a `hidden beast` number, since 3 + 6 + 4 + 44 + 30 + 6 + 495 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6153812953344 + 30290493542400 = 2480688^2 + 5503680^2 .

It is a super-2 number, since 2×36444306495744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 322515986632 + ... + 322515986744.

Almost surely, 2^{36444306495744} is an apocalyptic number.

36444306495744 is the 6036912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36444306495744

36444306495744 is an abundant number, since it is smaller than the sum of its proper divisors (93548548138899).

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

36444306495744 is an frugal number, since it uses more digits than its factorization.

36444306495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 63.

The spelling of 36444306495744 in words is "thirty-six trillion, four hundred forty-four billion, three hundred six million, four hundred ninety-five thousand, seven hundred forty-four".