164812496025600 has 864 divisors, whose sum is σ = 601392238902000. Its totient is φ = 43127576985600.

The previous prime is 164812496025589. The next prime is 164812496025637. The reversal of 164812496025600 is 6520694218461.

It is a happy number.

164812496025600 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 1 + 2 + 4 + 9 + 6 + 0 + 25 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5698699140 + ... + 5698728060.

Almost surely, 2^{164812496025600} is an apocalyptic number.

164812496025600 is a gapful number since it is divisible by the number (10) 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 164812496025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300696119451000).

164812496025600 is an abundant number, since it is smaller than the sum of its proper divisors (436579742876400).

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

164812496025600 is a wasteful number, since it uses less digits than its factorization.

164812496025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29191 (or 29163 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 164812496025600 in words is "one hundred sixty-four trillion, eight hundred twelve billion, four hundred ninety-six million, twenty-five thousand, six hundred".