164863566504 has 384 divisors, whose sum is σ = 579537504000. Its totient is φ = 41116004352.

The previous prime is 164863566457. The next prime is 164863566547. The reversal of 164863566504 is 405665368461.

164863566504 is a `hidden beast` number, since 1 + 6 + 4 + 86 + 3 + 56 + 6 + 504 = 666.

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, 100709974 + ... + 100711610.

It is an arithmetic number, because the mean of its divisors is an integer number (1509212250).

Almost surely, 2^164863566504 is an apocalyptic number.

164863566504 is a gapful number since it is divisible by the number (14) 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 164863566504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289768752000).

164863566504 is an abundant number, since it is smaller than the sum of its proper divisors (414673937496).

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

164863566504 is a wasteful number, since it uses less digits than its factorization.

164863566504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 164863566504 in words is "one hundred sixty-four billion, eight hundred sixty-three million, five hundred sixty-six thousand, five hundred four".