33997398656448 has 896 divisors, whose sum is σ = 100983000268800. Its totient is φ = 10055847555072.

The previous prime is 33997398656411. The next prime is 33997398656449. The reversal of 33997398656448 is 84465689379933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33997398656449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69809853261 + ... + 69809853747.

Almost surely, 2^{33997398656448} is an apocalyptic number.

33997398656448 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 33997398656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50491500134400).

33997398656448 is an abundant number, since it is smaller than the sum of its proper divisors (66985601612352).

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

33997398656448 is a wasteful number, since it uses less digits than its factorization.

33997398656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its digits is 25395793920, while the sum is 84.

The spelling of 33997398656448 in words is "thirty-three trillion, nine hundred ninety-seven billion, three hundred ninety-eight million, six hundred fifty-six thousand, four hundred forty-eight".