33603980137728 has 1152 divisors, whose sum is σ = 127321841848320. Its totient is φ = 7572420034560.

The previous prime is 33603980137699. The next prime is 33603980137729. The reversal of 33603980137728 is 82773108930633.

It is a super-2 number, since 2×33603980137728² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33603980137729) 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, 13029847543 + ... + 13029850121.

It is an arithmetic number, because the mean of its divisors is an integer number (110522432160).

Almost surely, 2^{33603980137728} 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 33603980137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63660920924160).

33603980137728 is an abundant number, since it is smaller than the sum of its proper divisors (93717861710592).

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

33603980137728 is a wasteful number, since it uses less digits than its factorization.

33603980137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 33603980137728 in words is "thirty-three trillion, six hundred three billion, nine hundred eighty million, one hundred thirty-seven thousand, seven hundred twenty-eight".