166320414976 has 81 divisors (see below), whose sum is σ = 337673518063. Its totient is φ = 81760555520.

The previous prime is 166320414973. The next prime is 166320414989. The reversal of 166320414976 is 679414023661.

The square root of 166320414976 is 407824.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166320414971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 463287885 + ... + 463288243.

Almost surely, 2^166320414976 is an apocalyptic number.

166320414976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166320414976 is the 407824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166320414976

166320414976 is an abundant number, since it is smaller than the sum of its proper divisors (171353103087).

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

166320414976 is an frugal number, since it uses more digits than its factorization.

166320414976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 166320414976 by its sum of digits (49), we get a square (8149700333824 = 2854768²).

The spelling of 166320414976 in words is "one hundred sixty-six billion, three hundred twenty million, four hundred fourteen thousand, nine hundred seventy-six".