164102719872 has 512 divisors, whose sum is σ = 567686891520. Its totient is φ = 40816410624.

The previous prime is 164102719843. The next prime is 164102719877. The reversal of 164102719872 is 278917201461.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164102719877) 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, 58669578 + ... + 58672374.

It is an arithmetic number, because the mean of its divisors is an integer number (1108763460).

Almost surely, 2^164102719872 is an apocalyptic number.

164102719872 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 164102719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283843445760).

164102719872 is an abundant number, since it is smaller than the sum of its proper divisors (403584171648).

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

164102719872 is a wasteful number, since it uses less digits than its factorization.

164102719872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 164102719872 in words is "one hundred sixty-four billion, one hundred two million, seven hundred nineteen thousand, eight hundred seventy-two".