172822141322496 has 432 divisors, whose sum is σ = 531543139218000. Its totient is φ = 53814044393472.

The previous prime is 172822141322491. The next prime is 172822141322497. The reversal of 172822141322496 is 694223141228271.

172822141322496 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 2 + 2 + 14 + 132 + 2 + 496 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86260702576896 + 86561438745600 = 9287664^2 + 9303840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172822141322491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8222958580 + ... + 8222979596.

It is an arithmetic number, because the mean of its divisors is an integer number (1230423933375).

Almost surely, 2^{172822141322496} is an apocalyptic number.

172822141322496 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 172822141322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265771569609000).

172822141322496 is an abundant number, since it is smaller than the sum of its proper divisors (358720997895504).

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

172822141322496 is a wasteful number, since it uses less digits than its factorization.

172822141322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22614 (or 22597 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 172822141322496 in words is "one hundred seventy-two trillion, eight hundred twenty-two billion, one hundred forty-one million, three hundred twenty-two thousand, four hundred ninety-six".