164493445200 has 240 divisors, whose sum is σ = 603444281856. Its totient is φ = 37520985600.

The previous prime is 164493445163. The next prime is 164493445217. The reversal of 164493445200 is 2544394461.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4104459 + ... + 4144341.

Almost surely, 2^164493445200 is an apocalyptic number.

164493445200 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 164493445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301722140928).

164493445200 is an abundant number, since it is smaller than the sum of its proper divisors (438950836656).

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

164493445200 is a wasteful number, since it uses less digits than its factorization.

164493445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40402 (or 40391 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 164493445200 in words is "one hundred sixty-four billion, four hundred ninety-three million, four hundred forty-five thousand, two hundred".