164430242092800 has 1080 divisors, whose sum is σ = 611303293272672. Its totient is φ = 43608637440000.

The previous prime is 164430242092799. The next prime is 164430242092819. The reversal of 164430242092800 is 8290242034461.

164430242092800 is a `hidden beast` number, since 1 + 6 + 4 + 430 + 2 + 4 + 209 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×164430242092800³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96894661552 + ... + 96894663248.

Almost surely, 2^{164430242092800} is an apocalyptic number.

164430242092800 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 164430242092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305651646636336).

164430242092800 is an abundant number, since it is smaller than the sum of its proper divisors (446873051179872).

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

164430242092800 is a wasteful number, since it uses less digits than its factorization.

164430242092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 164430242092800 in words is "one hundred sixty-four trillion, four hundred thirty billion, two hundred forty-two million, ninety-two thousand, eight hundred".