164481408000 has 1408 divisors, whose sum is σ = 749638256640. Its totient is φ = 34637414400.

The previous prime is 164481407999. The next prime is 164481408017. The reversal of 164481408000 is 804184461.

164481408000 is a `hidden beast` number, since 1 + 64 + 481 + 40 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314495739 + ... + 314496261.

Almost surely, 2^164481408000 is an apocalyptic number.

164481408000 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 164481408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374819128320).

164481408000 is an abundant number, since it is smaller than the sum of its proper divisors (585156848640).

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

164481408000 is a wasteful number, since it uses less digits than its factorization.

164481408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 164481408000 in words is "one hundred sixty-four billion, four hundred eighty-one million, four hundred eight thousand".