164885220864 has 320 divisors, whose sum is σ = 600708218880. Its totient is φ = 43485880320.

The previous prime is 164885220847. The next prime is 164885220887. The reversal of 164885220864 is 468022588461.

164885220864 is a `hidden beast` number, since 16 + 48 + 8 + 522 + 0 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 164885220864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192449 + ... + 1323519.

It is an arithmetic number, because the mean of its divisors is an integer number (1877213184).

Almost surely, 2^164885220864 is an apocalyptic number.

164885220864 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 164885220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300354109440).

164885220864 is an abundant number, since it is smaller than the sum of its proper divisors (435822998016).

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

164885220864 is a wasteful number, since it uses less digits than its factorization.

164885220864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131118 (or 131096 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 164885220864 in words is "one hundred sixty-four billion, eight hundred eighty-five million, two hundred twenty thousand, eight hundred sixty-four".