164052465701344 has 144 divisors (see below), whose sum is σ = 366487479203328. Its totient is φ = 72158647968000.

The previous prime is 164052465701339. The next prime is 164052465701353. The reversal of 164052465701344 is 443107564250461.

It is a junction number, because it is equal to n+sod(n) for n = 164052465701291 and 164052465701300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010135099 + ... + 2010216709.

It is an arithmetic number, because the mean of its divisors is an integer number (2545051938912).

Almost surely, 2^{164052465701344} 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 164052465701344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183243739601664).

164052465701344 is an abundant number, since it is smaller than the sum of its proper divisors (202435013501984).

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

164052465701344 is a wasteful number, since it uses less digits than its factorization.

164052465701344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98421 (or 98402 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 164052465701344 in words is "one hundred sixty-four trillion, fifty-two billion, four hundred sixty-five million, seven hundred one thousand, three hundred forty-four".