164037892181328 has 240 divisors, whose sum is σ = 502822414448640. Its totient is φ = 49509358617600.

The previous prime is 164037892181237. The next prime is 164037892181333. The reversal of 164037892181328 is 823181298730461.

164037892181328 is a `hidden beast` number, since 1 + 6 + 40 + 3 + 7 + 8 + 92 + 181 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408586993 + ... + 408988271.

It is an arithmetic number, because the mean of its divisors is an integer number (2095093393536).

Almost surely, 2^{164037892181328} is an apocalyptic number.

164037892181328 is a gapful number since it is divisible by the number (18) 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 164037892181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251411207224320).

164037892181328 is an abundant number, since it is smaller than the sum of its proper divisors (338784522267312).

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

164037892181328 is a wasteful number, since it uses less digits than its factorization.

164037892181328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402338 (or 402329 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 164037892181328 in words is "one hundred sixty-four trillion, thirty-seven billion, eight hundred ninety-two million, one hundred eighty-one thousand, three hundred twenty-eight".