8381413824 has 112 divisors (see below), whose sum is σ = 25691275008. Its totient is φ = 2361858048.

The previous prime is 8381413823. The next prime is 8381413841. The reversal of 8381413824 is 4283141838.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (8381413823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55399 + ... + 140825.

It is an arithmetic number, because the mean of its divisors is an integer number (229386384).

Almost surely, 2^8381413824 is an apocalyptic number.

8381413824 is a gapful number since it is divisible by the number (84) 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 8381413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845637504).

8381413824 is an abundant number, since it is smaller than the sum of its proper divisors (17309861184).

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

8381413824 is a wasteful number, since it uses less digits than its factorization.

8381413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85522 (or 85512 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 8381413824 is about 91550.0618459649. The cubic root of 8381413824 is about 2031.2923269899.

The spelling of 8381413824 in words is "eight billion, three hundred eighty-one million, four hundred thirteen thousand, eight hundred twenty-four".