33324469380225 has 189 divisors, whose sum is σ = 63077461865067. Its totient is φ = 17456750640000.

The previous prime is 33324469380211. The next prime is 33324469380227. The reversal of 33324469380225 is 52208396442333.

The square root of 33324469380225 is 5772735.

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

33324469380225 is a `hidden beast` number, since 3 + 3 + 32 + 4 + 4 + 6 + 9 + 380 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 27153676824561 + 6170792555664 = 5210919^2 + 2484108^2 .

It is not a de Polignac number, because 33324469380225 - 2²⁷ = 33324335162497 is a prime.

It is a super-2 number, since 2×33324469380225² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33324469380227) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 47538472375 + ... + 47538473075.

Almost surely, 2^{33324469380225} is an apocalyptic number.

33324469380225 is the 5772735-th square number.

33324469380225 is the 2886368-th centered octagonal number.

It is an amenable number.

33324469380225 is a deficient number, since it is larger than the sum of its proper divisors (29752992484842).

33324469380225 is an frugal number, since it uses more digits than its factorization.

33324469380225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 33324469380225 in words is "thirty-three trillion, three hundred twenty-four billion, four hundred sixty-nine million, three hundred eighty thousand, two hundred twenty-five".