3521055414144 has 256 divisors, whose sum is σ = 9935492212800. Its totient is φ = 1103124234240.

The previous prime is 3521055414119. The next prime is 3521055414157. The reversal of 3521055414144 is 4414145501253.

3521055414144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 65864994 + ... + 65918430.

Almost surely, 2^{3521055414144} 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 3521055414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967746106400).

3521055414144 is an abundant number, since it is smaller than the sum of its proper divisors (6414436798656).

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

3521055414144 is a wasteful number, since it uses less digits than its factorization.

3521055414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53641 (or 53629 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 3521055414144 in words is "three trillion, five hundred twenty-one billion, fifty-five million, four hundred fourteen thousand, one hundred forty-four".