13463416000 has 112 divisors (see below), whose sum is σ = 34156204992. Its totient is φ = 5253888000.

The previous prime is 13463415989. The next prime is 13463416013. The reversal of 13463416000 is 61436431.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13463416000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307477 + ... + 348523.

It is an arithmetic number, because the mean of its divisors is an integer number (304966116).

Almost surely, 2^13463416000 is an apocalyptic number.

13463416000 is a gapful number since it is divisible by the number (10) 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 13463416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17078102496).

13463416000 is an abundant number, since it is smaller than the sum of its proper divisors (20692788992).

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

13463416000 is an equidigital number, since it uses as much as digits as its factorization.

13463416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41115 (or 41095 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 13463416000 in words is "thirteen billion, four hundred sixty-three million, four hundred sixteen thousand".