13401216192 has 672 divisors, whose sum is σ = 47997465600. Its totient is φ = 3260694528.

The previous prime is 13401216167. The next prime is 13401216217. The reversal of 13401216192 is 29161210431.

It is an interprime number because it is at equal distance from previous prime (13401216167) and next prime (13401216217).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169635609 + ... + 169635687.

It is an arithmetic number, because the mean of its divisors is an integer number (71424800).

Almost surely, 2^13401216192 is an apocalyptic number.

13401216192 is a gapful number since it is divisible by the number (12) 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 13401216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998732800).

13401216192 is an abundant number, since it is smaller than the sum of its proper divisors (34596249408).

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

13401216192 is a wasteful number, since it uses less digits than its factorization.

13401216192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 13401216192 in words is "thirteen billion, four hundred one million, two hundred sixteen thousand, one hundred ninety-two".