13463784096 has 288 divisors, whose sum is σ = 42831839232. Its totient is φ = 3688312320.

The previous prime is 13463784053. The next prime is 13463784101. The reversal of 13463784096 is 69048736431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18519285 + ... + 18520011.

It is an arithmetic number, because the mean of its divisors is an integer number (148721664).

Almost surely, 2^13463784096 is an apocalyptic number.

13463784096 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 13463784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415919616).

13463784096 is an abundant number, since it is smaller than the sum of its proper divisors (29368055136).

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

13463784096 is a wasteful number, since it uses less digits than its factorization.

13463784096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 13463784096 in words is "thirteen billion, four hundred sixty-three million, seven hundred eighty-four thousand, ninety-six".