36613657050084 has 81 divisors (see below), whose sum is σ = 94151948614633. Its totient is φ = 11996993623584.

The previous prime is 36613657050071. The next prime is 36613657050097. The reversal of 36613657050084 is 48005075631663.

The square root of 36613657050084 is 6050922.

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

36613657050084 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 3 + 6 + 57 + 0 + 500 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (36613657050071) and next prime (36613657050097).

It can be written as a sum of positive squares in only one way, i.e., 20132720302500 + 16480936747584 = 4486950^2 + 4059672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36613657050084.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2142017842 + ... + 2142034934.

Almost surely, 2^{36613657050084} is an apocalyptic number.

36613657050084 is the 6050922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36613657050084

36613657050084 is an abundant number, since it is smaller than the sum of its proper divisors (57538291564549).

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

36613657050084 is an frugal number, since it uses more digits than its factorization.

36613657050084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34314 (or 17157 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 36613657050084 in words is "thirty-six trillion, six hundred thirteen billion, six hundred fifty-seven million, fifty thousand, eighty-four".