166633056432564 has 192 divisors, whose sum is σ = 410310425817600. Its totient is φ = 52529850058752.

The previous prime is 166633056432533. The next prime is 166633056432631. The reversal of 166633056432564 is 465234650336661.

It is a super-2 number, since 2×166633056432564² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166633056432498 and 166633056432507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32063314014 + ... + 32063319210.

It is an arithmetic number, because the mean of its divisors is an integer number (2137033467800).

Almost surely, 2^{166633056432564} 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 166633056432564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205155212908800).

166633056432564 is an abundant number, since it is smaller than the sum of its proper divisors (243677369385036).

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

166633056432564 is a wasteful number, since it uses less digits than its factorization.

166633056432564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 60.

The spelling of 166633056432564 in words is "one hundred sixty-six trillion, six hundred thirty-three billion, fifty-six million, four hundred thirty-two thousand, five hundred sixty-four".