166229628480 has 504 divisors, whose sum is σ = 625729488696. Its totient is φ = 40363130880.

The previous prime is 166229628469. The next prime is 166229628493. The reversal of 166229628480 is 84826922661.

166229628480 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 2 + 9 + 628 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59551617024 + 106678011456 = 244032^2 + 326616^2 .

It is a super-2 number, since 2×166229628480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47048794 + ... + 47052326.

Almost surely, 2^166229628480 is an apocalyptic number.

166229628480 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 166229628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312864744348).

166229628480 is an abundant number, since it is smaller than the sum of its proper divisors (459499860216).

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

166229628480 is a wasteful number, since it uses less digits than its factorization.

166229628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 166229628480 in words is "one hundred sixty-six billion, two hundred twenty-nine million, six hundred twenty-eight thousand, four hundred eighty".