13248485376 has 384 divisors, whose sum is σ = 43945574400. Its totient is φ = 3463741440.

The previous prime is 13248485317. The next prime is 13248485387. The reversal of 13248485376 is 67358484231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13248485376² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25331451 + ... + 25331973.

It is an arithmetic number, because the mean of its divisors is an integer number (114441600).

Almost surely, 2^13248485376 is an apocalyptic number.

13248485376 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 13248485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21972787200).

13248485376 is an abundant number, since it is smaller than the sum of its proper divisors (30697089024).

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

13248485376 is a wasteful number, since it uses less digits than its factorization.

13248485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 585 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 13248485376 in words is "thirteen billion, two hundred forty-eight million, four hundred eighty-five thousand, three hundred seventy-six".