164400014000 has 80 divisors (see below), whose sum is σ = 411226938720. Its totient is φ = 63492396800.

The previous prime is 164400013993. The next prime is 164400014027. The reversal of 164400014000 is 410004461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359242 + ... + 1475241.

It is an arithmetic number, because the mean of its divisors is an integer number (5140336734).

Almost surely, 2^164400014000 is an apocalyptic number.

164400014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164400014000 is an abundant number, since it is smaller than the sum of its proper divisors (246826924720).

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

164400014000 is a wasteful number, since it uses less digits than its factorization.

164400014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834535 (or 2834519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 164400014000 its reverse (410004461), we get a palindrome (164810018461).

The spelling of 164400014000 in words is "one hundred sixty-four billion, four hundred million, fourteen thousand".