164250162325344 has 384 divisors, whose sum is σ = 464226814808064. Its totient is φ = 50667724800000.

The previous prime is 164250162325307. The next prime is 164250162325349. The reversal of 164250162325344 is 443523261052461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 164250162325293 and 164250162325302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164250162325349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14219556369 + ... + 14219567919.

It is an arithmetic number, because the mean of its divisors is an integer number (1208923996896).

Almost surely, 2^{164250162325344} 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 164250162325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232113407404032).

164250162325344 is an abundant number, since it is smaller than the sum of its proper divisors (299976652482720).

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

164250162325344 is a wasteful number, since it uses less digits than its factorization.

164250162325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 164250162325344 in words is "one hundred sixty-four trillion, two hundred fifty billion, one hundred sixty-two million, three hundred twenty-five thousand, three hundred forty-four".