33678122256 has 135 divisors (see below), whose sum is σ = 96866558607. Its totient is φ = 10922872320.

The previous prime is 33678122251. The next prime is 33678122263. The reversal of 33678122256 is 65222187633.

The square root of 33678122256 is 183516.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8328387600 + 25349734656 = 91260^2 + 159216^2 .

It is a super-2 number, since 2×33678122256² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33678122251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90289686 + ... + 90290058.

Almost surely, 2^33678122256 is an apocalyptic number.

33678122256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33678122256 is the 183516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33678122256

33678122256 is an abundant number, since it is smaller than the sum of its proper divisors (63188436351).

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

33678122256 is an equidigital number, since it uses as much as digits as its factorization.

33678122256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 419 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 33678122256 in words is "thirty-three billion, six hundred seventy-eight million, one hundred twenty-two thousand, two hundred fifty-six".