33712649986944 has 128 divisors (see below), whose sum is σ = 89684442708480. Its totient is φ = 11220587663360.

The previous prime is 33712649986943. The next prime is 33712649986993. The reversal of 33712649986944 is 44968994621733.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33712649986944² (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 (33712649986943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286060979 + ... + 2286075725.

It is an arithmetic number, because the mean of its divisors is an integer number (700659708660).

Almost surely, 2^{33712649986944} 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 33712649986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44842221354240).

33712649986944 is an abundant number, since it is smaller than the sum of its proper divisors (55971792721536).

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

33712649986944 is a wasteful number, since it uses less digits than its factorization.

33712649986944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23348 (or 23336 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 75.

The spelling of 33712649986944 in words is "thirty-three trillion, seven hundred twelve billion, six hundred forty-nine million, nine hundred eighty-six thousand, nine hundred forty-four".