164922467786496 has 1296 divisors, whose sum is σ = 594009755888640. Its totient is φ = 45456589946880.

The previous prime is 164922467786459. The next prime is 164922467786497. The reversal of 164922467786496 is 694687764229461.

164922467786496 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 2 + 2 + 46 + 7 + 7 + 86 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164922467786497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31844459235 + ... + 31844464413.

Almost surely, 2^{164922467786496} is an apocalyptic number.

164922467786496 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 164922467786496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297004877944320).

164922467786496 is an abundant number, since it is smaller than the sum of its proper divisors (429087288102144).

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

164922467786496 is an equidigital number, since it uses as much as digits as its factorization.

164922467786496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5559 counting only the distinct ones).

The product of its digits is 10534551552, while the sum is 81.

The spelling of 164922467786496 in words is "one hundred sixty-four trillion, nine hundred twenty-two billion, four hundred sixty-seven million, seven hundred eighty-six thousand, four hundred ninety-six".