13181823648 has 576 divisors, whose sum is σ = 47325358080. Its totient is φ = 3396556800.

The previous prime is 13181823643. The next prime is 13181823661. The reversal of 13181823648 is 84632818131.

13181823648 is a `hidden beast` number, since 131 + 81 + 82 + 364 + 8 = 666.

It is a super-4 number, since 4×13181823648⁴ (a number of 42 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13181823643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100624543 + ... + 100624673.

It is an arithmetic number, because the mean of its divisors is an integer number (82162080).

Almost surely, 2^13181823648 is an apocalyptic number.

13181823648 is a gapful number since it is divisible by the number (18) 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 13181823648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23662679040).

13181823648 is an abundant number, since it is smaller than the sum of its proper divisors (34143534432).

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

13181823648 is a wasteful number, since it uses less digits than its factorization.

13181823648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 13181823648 in words is "thirteen billion, one hundred eighty-one million, eight hundred twenty-three thousand, six hundred forty-eight".