33678569448976 has 135 divisors (see below), whose sum is σ = 71650549001703. Its totient is φ = 15331917742080.

The previous prime is 33678569448961. The next prime is 33678569449013. The reversal of 33678569448976 is 67984496587633.

The square root of 33678569448976 is 5803324.

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 17775701583376 + 15902867865600 = 4216124^2 + 3987840^2 .

It is a super-2 number, since 2×33678569448976² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33678569448893 and 33678569448902.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12233405616 + ... + 12233408368.

Almost surely, 2^{33678569448976} is an apocalyptic number.

33678569448976 is the 5803324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33678569448976

33678569448976 is an abundant number, since it is smaller than the sum of its proper divisors (37971979552727).

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

33678569448976 is an frugal number, since it uses more digits than its factorization.

33678569448976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 2803 counting only the distinct ones).

The product of its digits is 39504568320, while the sum is 85.

The spelling of 33678569448976 in words is "thirty-three trillion, six hundred seventy-eight billion, five hundred sixty-nine million, four hundred forty-eight thousand, nine hundred seventy-six".