164351674939344 has 160 divisors (see below), whose sum is σ = 431942387929728. Its totient is φ = 53835003648000.

The previous prime is 164351674939343. The next prime is 164351674939411. The reversal of 164351674939344 is 443939476153461.

It is a super-2 number, since 2×164351674939344² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164351674939343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16803151734 + ... + 16803161514.

Almost surely, 2^{164351674939344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164351674939344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215971193964864).

164351674939344 is an abundant number, since it is smaller than the sum of its proper divisors (267590712990384).

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

164351674939344 is a wasteful number, since it uses less digits than its factorization.

164351674939344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14677 (or 14671 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 69.

The spelling of 164351674939344 in words is "one hundred sixty-four trillion, three hundred fifty-one billion, six hundred seventy-four million, nine hundred thirty-nine thousand, three hundred forty-four".