164613306816 has 168 divisors, whose sum is σ = 544187827040. Its totient is φ = 46600759296.

The previous prime is 164613306787. The next prime is 164613306839. The reversal of 164613306816 is 618603316461.

164613306816 is a `hidden beast` number, since 16 + 4 + 613 + 3 + 0 + 6 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252210 + ... + 626766.

Almost surely, 2^164613306816 is an apocalyptic number.

164613306816 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 164613306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272093913520).

164613306816 is an abundant number, since it is smaller than the sum of its proper divisors (379574520224).

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

164613306816 is a wasteful number, since it uses less digits than its factorization.

164613306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374691 (or 374678 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 164613306816 in words is "one hundred sixty-four billion, six hundred thirteen million, three hundred six thousand, eight hundred sixteen".