164646562400 has 144 divisors (see below), whose sum is σ = 404552232000. Its totient is φ = 65432640000.

The previous prime is 164646562397. The next prime is 164646562427. The reversal of 164646562400 is 4265646461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109836851 + ... + 109838349.

It is an arithmetic number, because the mean of its divisors is an integer number (2809390500).

Almost surely, 2^164646562400 is an apocalyptic number.

164646562400 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 164646562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202276116000).

164646562400 is an abundant number, since it is smaller than the sum of its proper divisors (239905669600).

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

164646562400 is a wasteful number, since it uses less digits than its factorization.

164646562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 164646562400 in words is "one hundred sixty-four billion, six hundred forty-six million, five hundred sixty-two thousand, four hundred".