164149344000 has 432 divisors, whose sum is σ = 616362836544. Its totient is φ = 41868288000.

The previous prime is 164149343947. The next prime is 164149344041. The reversal of 164149344000 is 443941461.

It is a happy number.

164149344000 is a `hidden beast` number, since 1 + 641 + 4 + 9 + 3 + 4 + 4 + 0 + 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 47 ways as a sum of consecutive naturals, for example, 6611610 + ... + 6636390.

Almost surely, 2^164149344000 is an apocalyptic number.

164149344000 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 164149344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308181418272).

164149344000 is an abundant number, since it is smaller than the sum of its proper divisors (452213492544).

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

164149344000 is a wasteful number, since it uses less digits than its factorization.

164149344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24841 (or 24814 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 164149344000 in words is "one hundred sixty-four billion, one hundred forty-nine million, three hundred forty-four thousand".