166954744320 has 480 divisors, whose sum is σ = 668652703488. Its totient is φ = 35224584192.

The previous prime is 166954744277. The next prime is 166954744331. The reversal of 166954744320 is 23447459661.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4875097 + ... + 4909223.

Almost surely, 2^166954744320 is an apocalyptic number.

166954744320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166954744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334326351744).

166954744320 is an abundant number, since it is smaller than the sum of its proper divisors (501697959168).

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

166954744320 is a wasteful number, since it uses less digits than its factorization.

166954744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34180 (or 34157 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 166954744320 in words is "one hundred sixty-six billion, nine hundred fifty-four million, seven hundred forty-four thousand, three hundred twenty".