163580083964649 has 81 divisors (see below), whose sum is σ = 264232090972759. Its totient is φ = 97444279035840.

The previous prime is 163580083964603. The next prime is 163580083964669. The reversal of 163580083964649 is 946469380085361.

The square root of 163580083964649 is 12789843.

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

163580083964649 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 80 + 0 + 83 + 9 + 6 + 464 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147179527907049 + 16400556057600 = 12131757^2 + 4049760^2 .

It is not a de Polignac number, because 163580083964649 - 2⁹ = 163580083964137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163580083964669) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24901821037 + ... + 24901827605.

Almost surely, 2^{163580083964649} is an apocalyptic number.

163580083964649 is the 12789843-rd square number.

163580083964649 is the 6394922-nd centered octagonal number.

It is an amenable number.

163580083964649 is a deficient number, since it is larger than the sum of its proper divisors (100652007008110).

163580083964649 is an frugal number, since it uses more digits than its factorization.

163580083964649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 163580083964649 in words is "one hundred sixty-three trillion, five hundred eighty billion, eighty-three million, nine hundred sixty-four thousand, six hundred forty-nine".