164935969115328 has 672 divisors, whose sum is σ = 513576612476928. Its totient is φ = 52428504268800.

The previous prime is 164935969115297. The next prime is 164935969115377. The reversal of 164935969115328 is 823511969539461.

164935969115328 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 3 + 596 + 9 + 1 + 1 + 5 + 3 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26402425101 + ... + 26402431347.

It is an arithmetic number, because the mean of its divisors is an integer number (764250911424).

Almost surely, 2^{164935969115328} is an apocalyptic number.

164935969115328 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 164935969115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256788306238464).

164935969115328 is an abundant number, since it is smaller than the sum of its proper divisors (348640643361600).

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

164935969115328 is an equidigital number, since it uses as much as digits as its factorization.

164935969115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7221 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 72.

The spelling of 164935969115328 in words is "one hundred sixty-four trillion, nine hundred thirty-five billion, nine hundred sixty-nine million, one hundred fifteen thousand, three hundred twenty-eight".