164308456032 has 96 divisors (see below), whose sum is σ = 521921014272. Its totient is φ = 44183783424.

The previous prime is 164308456031. The next prime is 164308456043. The reversal of 164308456032 is 230654803461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164308456031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7179948 + ... + 7202795.

It is an arithmetic number, because the mean of its divisors is an integer number (5436677232).

Almost surely, 2^164308456032 is an apocalyptic number.

164308456032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164308456032 is an abundant number, since it is smaller than the sum of its proper divisors (357612558240).

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

164308456032 is a wasteful number, since it uses less digits than its factorization.

164308456032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382780 (or 14382772 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 164308456032 in words is "one hundred sixty-four billion, three hundred eight million, four hundred fifty-six thousand, thirty-two".