13238818661376 has 1584 divisors, whose sum is σ = 51141351905280. Its totient is φ = 3323101593600.

The previous prime is 13238818661353. The next prime is 13238818661377. The reversal of 13238818661376 is 67316681883231.

It is a happy number.

13238818661376 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 8 + 8 + 1 + 8 + 6 + 613 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (13238818661377) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18412821145 + ... + 18412821863.

Almost surely, 2^{13238818661376} is an apocalyptic number.

13238818661376 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 13238818661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25570675952640).

13238818661376 is an abundant number, since it is smaller than the sum of its proper divisors (37902533243904).

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

13238818661376 is an equidigital number, since it uses as much as digits as its factorization.

13238818661376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 773 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 13238818661376 in words is "thirteen trillion, two hundred thirty-eight billion, eight hundred eighteen million, six hundred sixty-one thousand, three hundred seventy-six".