164853411696 has 240 divisors, whose sum is σ = 477061728000. Its totient is φ = 53111697408.

The previous prime is 164853411683. The next prime is 164853411703. The reversal of 164853411696 is 696114358461.

164853411696 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 534 + 1 + 16 + 96 = 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, 434969235 + ... + 434969613.

It is an arithmetic number, because the mean of its divisors is an integer number (1987757200).

Almost surely, 2^164853411696 is an apocalyptic number.

164853411696 is a gapful number since it is divisible by the number (16) 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 164853411696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238530864000).

164853411696 is an abundant number, since it is smaller than the sum of its proper divisors (312208316304).

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

164853411696 is a wasteful number, since it uses less digits than its factorization.

164853411696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 164853411696 in words is "one hundred sixty-four billion, eight hundred fifty-three million, four hundred eleven thousand, six hundred ninety-six".