164625942096 has 1080 divisors, whose sum is σ = 625082257800. Its totient is φ = 40236134400.

The previous prime is 164625942053. The next prime is 164625942127. The reversal of 164625942096 is 690249526461.

164625942096 is a `hidden beast` number, since 1 + 6 + 4 + 625 + 9 + 4 + 2 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6762759696 + 157863182400 = 82236^2 + 397320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1510329690 + ... + 1510329798.

Almost surely, 2^164625942096 is an apocalyptic number.

164625942096 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 164625942096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312541128900).

164625942096 is an abundant number, since it is smaller than the sum of its proper divisors (460456315704).

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

164625942096 is a wasteful number, since it uses less digits than its factorization.

164625942096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 164625942096 in words is "one hundred sixty-four billion, six hundred twenty-five million, nine hundred forty-two thousand, ninety-six".