166444056576 has 1200 divisors, whose sum is σ = 639444072960. Its totient is φ = 42042654720.

The previous prime is 166444056511. The next prime is 166444056601. The reversal of 166444056576 is 675650444661.

166444056576 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 4 + 0 + 565 + 76 = 666.

It is a super-3 number, since 3×166444056576³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4059611116 + ... + 4059611156.

Almost surely, 2^166444056576 is an apocalyptic number.

166444056576 is a gapful number since it is divisible by the number (16) 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 166444056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319722036480).

166444056576 is an abundant number, since it is smaller than the sum of its proper divisors (473000016384).

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

166444056576 is an equidigital number, since it uses as much as digits as its factorization.

166444056576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 166444056576 in words is "one hundred sixty-six billion, four hundred forty-four million, fifty-six thousand, five hundred seventy-six".