33480203019264 has 693 divisors, whose sum is σ = 103703937984171. Its totient is φ = 10798452817920.

The previous prime is 33480203019247. The next prime is 33480203019281. The reversal of 33480203019264 is 46291030208433.

The square root of 33480203019264 is 5786208.

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

33480203019264 is a `hidden beast` number, since 3 + 3 + 4 + 80 + 2 + 0 + 301 + 9 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (33480203019247) and next prime (33480203019281).

It can be written as a sum of positive squares in 4 ways, for example, as 1668437222400 + 31811765796864 = 1291680^2 + 5640192^2 .

It is a super-2 number, since 2×33480203019264² (a number of 28 digits) contains 22 as substring.

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, 184973497254 + ... + 184973497434.

Almost surely, 2^{33480203019264} is an apocalyptic number.

33480203019264 is the 5786208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33480203019264

33480203019264 is an abundant number, since it is smaller than the sum of its proper divisors (70223734964907).

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

33480203019264 is an frugal number, since it uses more digits than its factorization.

33480203019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

33480203019264 divided by its product of nonzero digits (746496) gives a square (44849809 = 6697²).

The spelling of 33480203019264 in words is "thirty-three trillion, four hundred eighty billion, two hundred three million, nineteen thousand, two hundred sixty-four".