164361631401 has 48 divisors (see below), whose sum is σ = 284478704640. Its totient is φ = 90267233760.

The previous prime is 164361631393. The next prime is 164361631481. The reversal of 164361631401 is 104136163461.

164361631401 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 616 + 31 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 164361631401 - 2³ = 164361631393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164361631481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856301 + ... + 1942826.

It is an arithmetic number, because the mean of its divisors is an integer number (5926639680).

Almost surely, 2^164361631401 is an apocalyptic number.

164361631401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164361631401 is a deficient number, since it is larger than the sum of its proper divisors (120117073239).

164361631401 is a wasteful number, since it uses less digits than its factorization.

164361631401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799186 (or 3799183 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 164361631401 its reverse (104136163461), we get a palindrome (268497794862).

The spelling of 164361631401 in words is "one hundred sixty-four billion, three hundred sixty-one million, six hundred thirty-one thousand, four hundred one".