164591073386880 has 512 divisors, whose sum is σ = 620482868352000. Its totient is φ = 36310320119808.

The previous prime is 164591073386863. The next prime is 164591073386881. The reversal of 164591073386880 is 88683370195461.

It is a super-2 number, since 2×164591073386880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164591073386881) 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, 1090083231 + ... + 1090234209.

It is an arithmetic number, because the mean of its divisors is an integer number (1211880602250).

Almost surely, 2^{164591073386880} is an apocalyptic number.

164591073386880 is a gapful number since it is divisible by the number (10) 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 164591073386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310241434176000).

164591073386880 is an abundant number, since it is smaller than the sum of its proper divisors (455891794965120).

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

164591073386880 is a wasteful number, since it uses less digits than its factorization.

164591073386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153834 (or 153822 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 164591073386880 in words is "one hundred sixty-four trillion, five hundred ninety-one billion, seventy-three million, three hundred eighty-six thousand, eight hundred eighty".