33869057464224 has 240 divisors, whose sum is σ = 101996226652320. Its totient is φ = 11019366489600.

The previous prime is 33869057464223. The next prime is 33869057464313. The reversal of 33869057464224 is 42246475096833.

It is a happy number.

33869057464224 is a `hidden beast` number, since 3 + 3 + 86 + 90 + 5 + 7 + 46 + 422 + 4 = 666.

It is a super-2 number, since 2×33869057464224² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33869057464223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159164299 + ... + 159376949.

It is an arithmetic number, because the mean of its divisors is an integer number (424984277718).

Almost surely, 2^{33869057464224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33869057464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50998113326160).

33869057464224 is an abundant number, since it is smaller than the sum of its proper divisors (68127169188096).

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

33869057464224 is a wasteful number, since it uses less digits than its factorization.

33869057464224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214145 (or 214128 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 33869057464224 in words is "thirty-three trillion, eight hundred sixty-nine billion, fifty-seven million, four hundred sixty-four thousand, two hundred twenty-four".