164965752882 has 144 divisors (see below), whose sum is σ = 422668148760. Its totient is φ = 46356033024.

The previous prime is 164965752877. The next prime is 164965752899. The reversal of 164965752882 is 288257569461.

164965752882 is a `hidden beast` number, since 1 + 6 + 49 + 65 + 7 + 528 + 8 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101366461161 + 63599291721 = 318381^2 + 252189^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24012544 + ... + 24019412.

Almost surely, 2^164965752882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164965752882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211334074380).

164965752882 is an abundant number, since it is smaller than the sum of its proper divisors (257702395878).

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

164965752882 is a wasteful number, since it uses less digits than its factorization.

164965752882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7327 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 164965752882 in words is "one hundred sixty-four billion, nine hundred sixty-five million, seven hundred fifty-two thousand, eight hundred eighty-two".