164249478912 has 144 divisors (see below), whose sum is σ = 443825984000. Its totient is φ = 53916475392.

The previous prime is 164249478851. The next prime is 164249478931. The reversal of 164249478912 is 219874942461.

It is a congruent number.

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, 24811539 + ... + 24818157.

Almost surely, 2^164249478912 is an apocalyptic number.

164249478912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164249478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221912992000).

164249478912 is an abundant number, since it is smaller than the sum of its proper divisors (279576505088).

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

164249478912 is an equidigital number, since it uses as much as digits as its factorization.

164249478912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7112 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 164249478912 in words is "one hundred sixty-four billion, two hundred forty-nine million, four hundred seventy-eight thousand, nine hundred twelve".