164429025868800 has 3168 divisors, whose sum is σ = 768537315606528. Its totient is φ = 32591462400000.

The previous prime is 164429025868759. The next prime is 164429025868823. The reversal of 164429025868800 is 8868520924461.

164429025868800 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 9 + 0 + 2 + 586 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×164429025868800³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39047498695 + ... + 39047502905.

Almost surely, 2^{164429025868800} is an apocalyptic number.

164429025868800 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 164429025868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384268657803264).

164429025868800 is an abundant number, since it is smaller than the sum of its proper divisors (604108289737728).

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

164429025868800 is a wasteful number, since it uses less digits than its factorization.

164429025868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 164429025868800 in words is "one hundred sixty-four trillion, four hundred twenty-nine billion, twenty-five million, eight hundred sixty-eight thousand, eight hundred".