164546512000 has 512 divisors, whose sum is σ = 460506009600. Its totient is φ = 58406400000.

The previous prime is 164546511991. The next prime is 164546512021. The reversal of 164546512000 is 215645461.

It is a super-2 number, since 2×164546512000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1089711925 + ... + 1089712075.

It is an arithmetic number, because the mean of its divisors is an integer number (899425800).

Almost surely, 2^164546512000 is an apocalyptic number.

164546512000 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 164546512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230253004800).

164546512000 is an abundant number, since it is smaller than the sum of its proper divisors (295959497600).

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

164546512000 is an equidigital number, since it uses as much as digits as its factorization.

164546512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 164546512000 in words is "one hundred sixty-four billion, five hundred forty-six million, five hundred twelve thousand".