164467998720000 has 2090 divisors, whose sum is σ = 652820799316158. Its totient is φ = 41278242816000.

The previous prime is 164467998719977. The next prime is 164467998720037. The reversal of 164467998720000 is 27899764461.

164467998720000 is a `hidden beast` number, since 1 + 6 + 4 + 467 + 99 + 87 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 41856138215424 + 122611860504576 = 6469632^2 + 11073024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164467998720000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 73440 × 64800 × 34560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 109 ways as a sum of consecutive naturals, for example, 9674588159992 + ... + 9674588160008.

Almost surely, 2^{164467998720000} is an apocalyptic number.

164467998720000 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 164467998720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326410399658079).

164467998720000 is an abundant number, since it is smaller than the sum of its proper divisors (488352800596158).

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

164467998720000 is an frugal number, since it uses more digits than its factorization.

164467998720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 164467998720000 in words is "one hundred sixty-four trillion, four hundred sixty-seven billion, nine hundred ninety-eight million, seven hundred twenty thousand".