164129045580 has 768 divisors, whose sum is σ = 599884185600. Its totient is φ = 36951552000.

The previous prime is 164129045579. The next prime is 164129045593. The reversal of 164129045580 is 85540921461.

164129045580 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 2 + 90 + 4 + 558 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 653900455 + ... + 653900705.

It is an arithmetic number, because the mean of its divisors is an integer number (781099200).

Almost surely, 2^164129045580 is an apocalyptic number.

164129045580 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 164129045580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299942092800).

164129045580 is an abundant number, since it is smaller than the sum of its proper divisors (435755140020).

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

164129045580 is a wasteful number, since it uses less digits than its factorization.

164129045580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 164129045580 in words is "one hundred sixty-four billion, one hundred twenty-nine million, forty-five thousand, five hundred eighty".