172274304793344 has 864 divisors, whose sum is σ = 550428829332480. Its totient is φ = 47630454423552.

The previous prime is 172274304793309. The next prime is 172274304793361. The reversal of 172274304793344 is 443397403472271.

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, 3203109877 + ... + 3203163659.

It is an arithmetic number, because the mean of its divisors is an integer number (637070404320).

Almost surely, 2^{172274304793344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172274304793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275214414666240).

172274304793344 is an abundant number, since it is smaller than the sum of its proper divisors (378154524539136).

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

172274304793344 is a wasteful number, since it uses less digits than its factorization.

172274304793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53917 (or 53890 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 60.

The spelling of 172274304793344 in words is "one hundred seventy-two trillion, two hundred seventy-four billion, three hundred four million, seven hundred ninety-three thousand, three hundred forty-four".