164554213824 has 1120 divisors, whose sum is σ = 689818483200. Its totient is φ = 37354659840.

The previous prime is 164554213823. The next prime is 164554213841. The reversal of 164554213824 is 428312455461.

164554213824 is a `hidden beast` number, since 1 + 6 + 4 + 554 + 2 + 13 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164554213824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164554213823) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98593662 + ... + 98595330.

It is an arithmetic number, because the mean of its divisors is an integer number (615909360).

Almost surely, 2^164554213824 is an apocalyptic number.

164554213824 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 164554213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344909241600).

164554213824 is an abundant number, since it is smaller than the sum of its proper divisors (525264269376).

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

164554213824 is a wasteful number, since it uses less digits than its factorization.

164554213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1724 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 164554213824 in words is "one hundred sixty-four billion, five hundred fifty-four million, two hundred thirteen thousand, eight hundred twenty-four".