3481013146688 has 224 divisors, whose sum is σ = 8812931604480. Its totient is φ = 1324730050560.

The previous prime is 3481013146669. The next prime is 3481013146733. The reversal of 3481013146688 is 8866413101843.

It is a tau number, because it is divible by the number of its divisors (224).

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, 117877781 + ... + 117907307.

Almost surely, 2^{3481013146688} 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 3481013146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406465802240).

3481013146688 is an abundant number, since it is smaller than the sum of its proper divisors (5331918457792).

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

3481013146688 is a wasteful number, since it uses less digits than its factorization.

3481013146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30113 (or 30103 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 3481013146688 in words is "three trillion, four hundred eighty-one billion, thirteen million, one hundred forty-six thousand, six hundred eighty-eight".