164798117991360 has 2688 divisors, whose sum is σ = 736256270131200. Its totient is φ = 34233530204160.

The previous prime is 164798117991337. The next prime is 164798117991421. The reversal of 164798117991360 is 63199711897461.

164798117991360 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 9 + 8 + 1 + 179 + 91 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48887010475 + ... + 48887013845.

It is an arithmetic number, because the mean of its divisors is an integer number (273904862400).

Almost surely, 2^{164798117991360} is an apocalyptic number.

164798117991360 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 164798117991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368128135065600).

164798117991360 is an abundant number, since it is smaller than the sum of its proper divisors (571458152139840).

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

164798117991360 is a wasteful number, since it uses less digits than its factorization.

164798117991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 164798117991360 in words is "one hundred sixty-four trillion, seven hundred ninety-eight billion, one hundred seventeen million, nine hundred ninety-one thousand, three hundred sixty".