164649996435456 has 1440 divisors, whose sum is σ = 600745551823872. Its totient is φ = 43989357035520.

The previous prime is 164649996435433. The next prime is 164649996435497. The reversal of 164649996435456 is 654534699946461.

164649996435456 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 4 + 9 + 9 + 9 + 64 + 3 + 545 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79120612336 + ... + 79120614416.

Almost surely, 2^{164649996435456} is an apocalyptic number.

164649996435456 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 164649996435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300372775911936).

164649996435456 is an abundant number, since it is smaller than the sum of its proper divisors (436095555388416).

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

164649996435456 is an equidigital number, since it uses as much as digits as its factorization.

164649996435456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2277 counting only the distinct ones).

The product of its digits is 18139852800, while the sum is 81.

The spelling of 164649996435456 in words is "one hundred sixty-four trillion, six hundred forty-nine billion, nine hundred ninety-six million, four hundred thirty-five thousand, four hundred fifty-six".