36505183970304 has 1287 divisors, whose sum is σ = 130867811284833. Its totient is φ = 10148159250432.

The previous prime is 36505183970237. The next prime is 36505183970317. The reversal of 36505183970304 is 40307938150563.

The square root of 36505183970304 is 6041952.

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

36505183970304 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 518 + 3 + 97 + 0 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32665339929600 + 3839844040704 = 5715360^2 + 1959552^2 .

It is a super-2 number, since 2×36505183970304² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 986626593774 + ... + 986626593810.

Almost surely, 2^{36505183970304} is an apocalyptic number.

36505183970304 is the 6041952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36505183970304

36505183970304 is an abundant number, since it is smaller than the sum of its proper divisors (94362627314529).

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

36505183970304 is an frugal number, since it uses more digits than its factorization.

36505183970304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 36505183970304 in words is "thirty-six trillion, five hundred five billion, one hundred eighty-three million, nine hundred seventy thousand, three hundred four".