3625616165652 has 144 divisors (see below), whose sum is σ = 10451479514112. Its totient is φ = 1049834234880.

The previous prime is 3625616165627. The next prime is 3625616165671. The reversal of 3625616165652 is 2565616165263.

3625616165652 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 61 + 6 + 16 + 565 + 2 = 666.

It is a super-2 number, since 2×3625616165652² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91243413 + ... + 91283139.

It is an arithmetic number, because the mean of its divisors is an integer number (72579718848).

Almost surely, 2^{3625616165652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625616165652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225739757056).

3625616165652 is an abundant number, since it is smaller than the sum of its proper divisors (6825863348460).

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

3625616165652 is a wasteful number, since it uses less digits than its factorization.

3625616165652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51238 (or 51233 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 3625616165652 in words is "three trillion, six hundred twenty-five billion, six hundred sixteen million, one hundred sixty-five thousand, six hundred fifty-two".