164241056800 has 72 divisors (see below), whose sum is σ = 401880317076. Its totient is φ = 65544560640.

The previous prime is 164241056767. The next prime is 164241056803. The reversal of 164241056800 is 8650142461.

164241056800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 55886851216 + 108354205584 = 236404^2 + 329172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164241056800.

It is not an unprimeable number, because it can be changed into a prime (164241056803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109332 + ... + 583468.

Almost surely, 2^164241056800 is an apocalyptic number.

164241056800 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 164241056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200940158538).

164241056800 is an abundant number, since it is smaller than the sum of its proper divisors (237639260276).

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

164241056800 is a wasteful number, since it uses less digits than its factorization.

164241056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474590 (or 474577 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 164241056800 in words is "one hundred sixty-four billion, two hundred forty-one million, fifty-six thousand, eight hundred".