33045320448 has 216 divisors, whose sum is σ = 114620979200. Its totient is φ = 8944515072.

The previous prime is 33045320419. The next prime is 33045320471. The reversal of 33045320448 is 84402354033.

It is a super-2 number, since 2×33045320448² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252513 + ... + 360351.

Almost surely, 2^33045320448 is an apocalyptic number.

33045320448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33045320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57310489600).

33045320448 is an abundant number, since it is smaller than the sum of its proper divisors (81575658752).

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

33045320448 is a wasteful number, since it uses less digits than its factorization.

33045320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107887 (or 107870 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 33045320448 in words is "thirty-three billion, forty-five million, three hundred twenty thousand, four hundred forty-eight".