164870079381504 has 1064 divisors, whose sum is σ = 580454025693248. Its totient is φ = 45818849525760.

The previous prime is 164870079381493. The next prime is 164870079381509. The reversal of 164870079381504 is 405183970078461.

164870079381504 is a `hidden beast` number, since 1 + 6 + 48 + 7 + 0 + 0 + 7 + 9 + 3 + 81 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164870079381509) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49495669119 + ... + 49495672449.

It is an arithmetic number, because the mean of its divisors is an integer number (545539497832).

Almost surely, 2^{164870079381504} is an apocalyptic number.

164870079381504 is a gapful number since it is divisible by the number (14) 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 164870079381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290227012846624).

164870079381504 is an abundant number, since it is smaller than the sum of its proper divisors (415583946311744).

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

164870079381504 is an frugal number, since it uses more digits than its factorization.

164870079381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 164870079381504 in words is "one hundred sixty-four trillion, eight hundred seventy billion, seventy-nine million, three hundred eighty-one thousand, five hundred four".