3533113282944 has 256 divisors, whose sum is σ = 11076820070400. Its totient is φ = 976428933120.

The previous prime is 3533113282903. The next prime is 3533113282957. The reversal of 3533113282944 is 4492823113353.

3533113282944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3533113282893 and 3533113282902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196395102 + ... + 196413090.

It is an arithmetic number, because the mean of its divisors is an integer number (43268828400).

Almost surely, 2^{3533113282944} 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 3533113282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538410035200).

3533113282944 is an abundant number, since it is smaller than the sum of its proper divisors (7543706787456).

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

3533113282944 is a wasteful number, since it uses less digits than its factorization.

3533113282944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401 (or 20389 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 3533113282944 in words is "three trillion, five hundred thirty-three billion, one hundred thirteen million, two hundred eighty-two thousand, nine hundred forty-four".