13034775523616 has 384 divisors, whose sum is σ = 34323262009344. Its totient is φ = 4721508126720.

The previous prime is 13034775523531. The next prime is 13034775523643. The reversal of 13034775523616 is 61632557743031.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2488974950 + ... + 2488980186.

It is an arithmetic number, because the mean of its divisors is an integer number (89383494816).

Almost surely, 2^{13034775523616} is an apocalyptic number.

13034775523616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13034775523616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161631004672).

13034775523616 is an abundant number, since it is smaller than the sum of its proper divisors (21288486485728).

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

13034775523616 is a wasteful number, since it uses less digits than its factorization.

13034775523616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 53.

The spelling of 13034775523616 in words is "thirteen trillion, thirty-four billion, seven hundred seventy-five million, five hundred twenty-three thousand, six hundred sixteen".