33856385253376 has 459 divisors, whose sum is σ = 84113611935717. Its totient is φ = 13584857825280.

The previous prime is 33856385253329. The next prime is 33856385253377. The reversal of 33856385253376 is 67335258365833.

The square root of 33856385253376 is 5818624.

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

It can be written as a sum of positive squares in only one way, i.e., 26358777446400 + 7497607806976 = 5134080^2 + 2738176^2 .

It is a super-2 number, since 2×33856385253376² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33856385253377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177258561441 + ... + 177258561631.

Almost surely, 2^{33856385253376} is an apocalyptic number.

33856385253376 is the 5818624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33856385253376

33856385253376 is an abundant number, since it is smaller than the sum of its proper divisors (50257226682341).

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

33856385253376 is an frugal number, since it uses more digits than its factorization.

33856385253376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 217 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 67.

The spelling of 33856385253376 in words is "thirty-three trillion, eight hundred fifty-six billion, three hundred eighty-five million, two hundred fifty-three thousand, three hundred seventy-six".