166338564480 has 1152 divisors, whose sum is σ = 679965904800. Its totient is φ = 37306368000.

The previous prime is 166338564473. The next prime is 166338564499. The reversal of 166338564480 is 84465833661.

166338564480 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 38 + 564 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×166338564480³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1196680251 + ... + 1196680389.

Almost surely, 2^166338564480 is an apocalyptic number.

166338564480 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 166338564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339982952400).

166338564480 is an abundant number, since it is smaller than the sum of its proper divisors (513627340320).

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

166338564480 is a wasteful number, since it uses less digits than its factorization.

166338564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 166338564480 in words is "one hundred sixty-six billion, three hundred thirty-eight million, five hundred sixty-four thousand, four hundred eighty".