164226624246400 has 48 divisors (see below), whose sum is σ = 405691082716590. Its totient is φ = 65690649697280.

The previous prime is 164226624246319. The next prime is 164226624246413. The reversal of 164226624246400 is 4642426622461.

164226624246400 is digitally balanced in base 2, 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 3 ways, for example, as 120410591526976 + 43816032719424 = 10973176^2 + 6619368^2 .

It is a super-2 number, since 2×164226624246400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25660406839 + ... + 25660413238.

Almost surely, 2^{164226624246400} is an apocalyptic number.

164226624246400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164226624246400 is an abundant number, since it is smaller than the sum of its proper divisors (241464458470190).

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

164226624246400 is an equidigital number, since it uses as much as digits as its factorization.

164226624246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51320820101 (or 51320820084 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 49.

The spelling of 164226624246400 in words is "one hundred sixty-four trillion, two hundred twenty-six billion, six hundred twenty-four million, two hundred forty-six thousand, four hundred".