61165507022244 has 135 divisors (see below), whose sum is σ = 164351099702097. Its totient is φ = 19835772435936.

The previous prime is 61165507022231. The next prime is 61165507022317. The reversal of 61165507022244 is 44222070556116.

The square root of 61165507022244 is 7820838.

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

61165507022244 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 550 + 70 + 2 + 2 + 24 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54731735648100 + 6433771374144 = 7398090^2 + 2536488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61165507022244.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5208672237 + ... + 5208683979.

Almost surely, 2^{61165507022244} is an apocalyptic number.

61165507022244 is the 7820838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61165507022244

61165507022244 is an abundant number, since it is smaller than the sum of its proper divisors (103185592679853).

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

61165507022244 is an frugal number, since it uses more digits than its factorization.

61165507022244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23576 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 61165507022244 in words is "sixty-one trillion, one hundred sixty-five billion, five hundred seven million, twenty-two thousand, two hundred forty-four".