164404460101210 has 24 divisors (see below), whose sum is σ = 344242808294580. Its totient is φ = 56367243463104.

The previous prime is 164404460101199. The next prime is 164404460101373. The reversal of 164404460101210 is 12101064404461.

164404460101210 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 2 ways, for example, as 141259191333001 + 23145268768209 = 11885251^2 + 4810953^2 .

It is a super-3 number, since 3×164404460101210³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167759652675 + ... + 167759653654.

Almost surely, 2^{164404460101210} is an apocalyptic number.

164404460101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164404460101210 is an abundant number, since it is smaller than the sum of its proper divisors (179838348193370).

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

164404460101210 is a wasteful number, since it uses less digits than its factorization.

164404460101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335519306350 (or 335519306343 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 164404460101210 in words is "one hundred sixty-four trillion, four hundred four billion, four hundred sixty million, one hundred one thousand, two hundred ten".