164073507312 has 160 divisors (see below), whose sum is σ = 499946501376. Its totient is φ = 45711360000.

The previous prime is 164073507293. The next prime is 164073507337. The reversal of 164073507312 is 213705370461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675248 + ... + 1770480.

Almost surely, 2^164073507312 is an apocalyptic number.

164073507312 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 164073507312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249973250688).

164073507312 is an abundant number, since it is smaller than the sum of its proper divisors (335872994064).

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

164073507312 is a wasteful number, since it uses less digits than its factorization.

164073507312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95519 (or 95513 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

Adding to 164073507312 its reverse (213705370461), we get a palindrome (377778877773).

The spelling of 164073507312 in words is "one hundred sixty-four billion, seventy-three million, five hundred seven thousand, three hundred twelve".