13824347376 has 160 divisors (see below), whose sum is σ = 41235360768. Its totient is φ = 3909335040.

The previous prime is 13824347353. The next prime is 13824347377. The reversal of 13824347376 is 67374342831.

It is a happy number.

It is a super-2 number, since 2×13824347376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824347377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26533996 + ... + 26534516.

Almost surely, 2^13824347376 is an apocalyptic number.

13824347376 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 13824347376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20617680384).

13824347376 is an abundant number, since it is smaller than the sum of its proper divisors (27411013392).

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

13824347376 is a wasteful number, since it uses less digits than its factorization.

13824347376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The spelling of 13824347376 in words is "thirteen billion, eight hundred twenty-four million, three hundred forty-seven thousand, three hundred seventy-six".