36634056160261 has 48 divisors (see below), whose sum is σ = 44382399174000. Its totient is φ = 30122590417920.

The previous prime is 36634056160217. The next prime is 36634056160301. The reversal of 36634056160261 is 16206165043663.

It can be written as a sum of positive squares in 8 ways, for example, as 9116740127236 + 27517316033025 = 3019394^2 + 5245695^2 .

It is not a de Polignac number, because 36634056160261 - 2²¹ = 36634054063109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36634056140261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378602115 + ... + 378698863.

It is an arithmetic number, because the mean of its divisors is an integer number (924633316125).

Almost surely, 2^{36634056160261} is an apocalyptic number.

It is an amenable number.

36634056160261 is a deficient number, since it is larger than the sum of its proper divisors (7748343013739).

36634056160261 is a wasteful number, since it uses less digits than its factorization.

36634056160261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99734 (or 99727 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

The spelling of 36634056160261 in words is "thirty-six trillion, six hundred thirty-four billion, fifty-six million, one hundred sixty thousand, two hundred sixty-one".