173982853345536 has 567 divisors, whose sum is σ = 549880257035991. Its totient is φ = 54907764544512.

The previous prime is 173982853345507. The next prime is 173982853345559. The reversal of 173982853345536 is 635543358289371.

The square root of 173982853345536 is 13190256.

It is a perfect power (a square), and thus also a powerful number.

173982853345536 is a `hidden beast` number, since 1 + 7 + 3 + 9 + 8 + 2 + 8 + 53 + 34 + 5 + 536 = 666.

It is a super-2 number, since 2×173982853345536² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 108265620445 + ... + 108265622051.

Almost surely, 2^{173982853345536} is an apocalyptic number.

173982853345536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

173982853345536 is the 13190256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173982853345536

173982853345536 is an abundant number, since it is smaller than the sum of its proper divisors (375897403690455).

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

173982853345536 is an frugal number, since it uses more digits than its factorization.

173982853345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 1631 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 173982853345536 in words is "one hundred seventy-three trillion, nine hundred eighty-two billion, eight hundred fifty-three million, three hundred forty-five thousand, five hundred thirty-six".