164686401 has 24 divisors (see below), whose sum is σ = 262435680. Its totient is φ = 98683200.

The previous prime is 164686399. The next prime is 164686409. The reversal of 164686401 is 104686461.

164686401 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 8 + 640 + 1 = 666.

It is not a de Polignac number, because 164686401 - 2¹ = 164686399 is a prime.

It is a super-2 number, since 2×164686401² = 54243221348665602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164686409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535 + ... + 18156.

It is an arithmetic number, because the mean of its divisors is an integer number (10934820).

Almost surely, 2^164686401 is an apocalyptic number.

164686401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164686401 is a deficient number, since it is larger than the sum of its proper divisors (97749279).

164686401 is a wasteful number, since it uses less digits than its factorization.

164686401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18797 (or 18794 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164686401 is about 12833.0199485546. The cubic root of 164686401 is about 548.1329540921.

The spelling of 164686401 in words is "one hundred sixty-four million, six hundred eighty-six thousand, four hundred one".