164720524068144 has 320 divisors, whose sum is σ = 517388520729600. Its totient is φ = 49760899430400.

The previous prime is 164720524068109. The next prime is 164720524068157. The reversal of 164720524068144 is 441860425027461.

164720524068144 is a `hidden beast` number, since 1 + 6 + 4 + 72 + 0 + 52 + 406 + 81 + 44 = 666.

164720524068144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3684093949 + ... + 3684138659.

It is an arithmetic number, because the mean of its divisors is an integer number (1616839127280).

Almost surely, 2^{164720524068144} 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 164720524068144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258694260364800).

164720524068144 is an abundant number, since it is smaller than the sum of its proper divisors (352667996661456).

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

164720524068144 is a wasteful number, since it uses less digits than its factorization.

164720524068144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47121 (or 47109 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 164720524068144 in words is "one hundred sixty-four trillion, seven hundred twenty billion, five hundred twenty-four million, sixty-eight thousand, one hundred forty-four".