164362531968 has 128 divisors (see below), whose sum is σ = 486890553600. Its totient is φ = 54585031680.

The previous prime is 164362531913. The next prime is 164362532011. The reversal of 164362531968 is 869135263461.

164362531968 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 625 + 3 + 1 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848830 + ... + 1024322.

It is an arithmetic number, because the mean of its divisors is an integer number (3803832450).

Almost surely, 2^164362531968 is an apocalyptic number.

164362531968 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 164362531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243445276800).

164362531968 is an abundant number, since it is smaller than the sum of its proper divisors (322528021632).

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

164362531968 is a wasteful number, since it uses less digits than its factorization.

164362531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175787 (or 175769 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 164362531968 in words is "one hundred sixty-four billion, three hundred sixty-two million, five hundred thirty-one thousand, nine hundred sixty-eight".