13481877248 has 216 divisors, whose sum is σ = 33118098048. Its totient is φ = 5450446848.

The previous prime is 13481877229. The next prime is 13481877281. The reversal of 13481877248 is 84277818431.

It is a super-2 number, since 2×13481877248² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13481877248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23946215 + ... + 23946777.

It is an arithmetic number, because the mean of its divisors is an integer number (153324528).

Almost surely, 2^13481877248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13481877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16559049024).

13481877248 is an abundant number, since it is smaller than the sum of its proper divisors (19636220800).

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

13481877248 is an equidigital number, since it uses as much as digits as its factorization.

13481877248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 678 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 53.

The spelling of 13481877248 in words is "thirteen billion, four hundred eighty-one million, eight hundred seventy-seven thousand, two hundred forty-eight".