164740988688000 has 512 divisors, whose sum is σ = 575147768832000. Its totient is φ = 41597895168000.

The previous prime is 164740988687959. The next prime is 164740988688013. The reversal of 164740988688000 is 886889047461.

It is a super-2 number, since 2×164740988688000² (a number of 29 digits) contains 22 as substring.

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, 1859523705 + ... + 1859612295.

It is an arithmetic number, because the mean of its divisors is an integer number (1123335486000).

Almost surely, 2^{164740988688000} is an apocalyptic number.

164740988688000 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 164740988688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287573884416000).

164740988688000 is an abundant number, since it is smaller than the sum of its proper divisors (410406780144000).

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

164740988688000 is a wasteful number, since it uses less digits than its factorization.

164740988688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90681 (or 90659 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 69.

The spelling of 164740988688000 in words is "one hundred sixty-four trillion, seven hundred forty billion, nine hundred eighty-eight million, six hundred eighty-eight thousand".