13361504416 has 192 divisors, whose sum is σ = 31183004160. Its totient is φ = 5578997760.

The previous prime is 13361504389. The next prime is 13361504419. The reversal of 13361504416 is 61440516331.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (13361504419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20275095 + ... + 20275753.

It is an arithmetic number, because the mean of its divisors is an integer number (162411480).

Almost surely, 2^13361504416 is an apocalyptic number.

13361504416 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 13361504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591502080).

13361504416 is an abundant number, since it is smaller than the sum of its proper divisors (17821499744).

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

13361504416 is a wasteful number, since it uses less digits than its factorization.

13361504416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 13361504416 in words is "thirteen billion, three hundred sixty-one million, five hundred four thousand, four hundred sixteen".