164712791232 has 336 divisors, whose sum is σ = 529048394784. Its totient is φ = 48562176000.

The previous prime is 164712791219. The next prime is 164712791233. The reversal of 164712791232 is 232197217461.

It is not an unprimeable number, because it can be changed into a prime (164712791233) 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, 135342688 + ... + 135343904.

It is an arithmetic number, because the mean of its divisors is an integer number (1574548794).

Almost surely, 2^164712791232 is an apocalyptic number.

164712791232 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 164712791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264524197392).

164712791232 is an abundant number, since it is smaller than the sum of its proper divisors (364335603552).

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

164712791232 is a wasteful number, since it uses less digits than its factorization.

164712791232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1795 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 164712791232 in words is "one hundred sixty-four billion, seven hundred twelve million, seven hundred ninety-one thousand, two hundred thirty-two".