46165583564676 has 243 divisors, whose sum is σ = 128442581201389. Its totient is φ = 13977807599616.

The previous prime is 46165583564641. The next prime is 46165583564783. The reversal of 46165583564676 is 67646538556164.

The square root of 46165583564676 is 6794526.

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

46165583564676 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 5 + 58 + 3 + 564 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10434360011076 + 35731223553600 = 3230226^2 + 5977560^2 .

It is a super-2 number, since 2×46165583564676² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20098206760 + ... + 20098209056.

Almost surely, 2^{46165583564676} is an apocalyptic number.

46165583564676 is the 6794526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46165583564676

46165583564676 is an abundant number, since it is smaller than the sum of its proper divisors (82276997636713).

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

46165583564676 is a wasteful number, since it uses less digits than its factorization.

46165583564676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 2348 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 46165583564676 in words is "forty-six trillion, one hundred sixty-five billion, five hundred eighty-three million, five hundred sixty-four thousand, six hundred seventy-six".