164318194656 has 1152 divisors, whose sum is σ = 629809689600. Its totient is φ = 40236134400.

The previous prime is 164318194637. The next prime is 164318194699. The reversal of 164318194656 is 656491813461.

164318194656 is a `hidden beast` number, since 16 + 431 + 8 + 194 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2452510335 + ... + 2452510401.

It is an arithmetic number, because the mean of its divisors is an integer number (546709800).

Almost surely, 2^164318194656 is an apocalyptic number.

164318194656 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 164318194656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314904844800).

164318194656 is an abundant number, since it is smaller than the sum of its proper divisors (465491494944).

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

164318194656 is a wasteful number, since it uses less digits than its factorization.

164318194656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

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

The spelling of 164318194656 in words is "one hundred sixty-four billion, three hundred eighteen million, one hundred ninety-four thousand, six hundred fifty-six".