36643022009104 has 135 divisors (see below), whose sum is σ = 84893952355317. Its totient is φ = 15277100694912.

The previous prime is 36643022009101. The next prime is 36643022009137. The reversal of 36643022009104 is 40190022034663.

The square root of 36643022009104 is 6053348.

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

It can be written as a sum of positive squares in only one way, i.e., 32788679299600 + 3854342709504 = 5726140^2 + 1963248^2 .

It is a super-2 number, since 2×36643022009104² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36643022009101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6271265607 + ... + 6271271449.

Almost surely, 2^{36643022009104} is an apocalyptic number.

36643022009104 is the 6053348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36643022009104

36643022009104 is an abundant number, since it is smaller than the sum of its proper divisors (48250930346213).

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

36643022009104 is an frugal number, since it uses more digits than its factorization.

36643022009104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11782 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 36643022009104 in words is "thirty-six trillion, six hundred forty-three billion, twenty-two million, nine thousand, one hundred four".