164410864398400 has 189 divisors, whose sum is σ = 407831917803037. Its totient is φ = 65235657510400.

The previous prime is 164410864398359. The next prime is 164410864398457. The reversal of 164410864398400 is 4893468014461.

It is a happy number.

The square root of 164410864398400 is 12822280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59187911183424 + 105222953214976 = 7693368^2 + 10257824^2 .

It is a super-3 number, since 3×164410864398400³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67188745977 + ... + 67188748423.

Almost surely, 2^{164410864398400} is an apocalyptic number.

164410864398400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164410864398400 is the 12822280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164410864398400

164410864398400 is an abundant number, since it is smaller than the sum of its proper divisors (243421053404637).

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

164410864398400 is an frugal number, since it uses more digits than its factorization.

164410864398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 164410864398400 in words is "one hundred sixty-four trillion, four hundred ten billion, eight hundred sixty-four million, three hundred ninety-eight thousand, four hundred".