13093766682444 has 576 divisors, whose sum is σ = 40624437934080. Its totient is φ = 3609696337920.

The previous prime is 13093766682443. The next prime is 13093766682487. The reversal of 13093766682444 is 44428666739031.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13093766682443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28402964374 + ... + 28402964834.

It is an arithmetic number, because the mean of its divisors is an integer number (70528538080).

Almost surely, 2^{13093766682444} is an apocalyptic number.

13093766682444 is a gapful number since it is divisible by the number (14) 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 13093766682444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20312218967040).

13093766682444 is an abundant number, since it is smaller than the sum of its proper divisors (27530671251636).

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

13093766682444 is a wasteful number, since it uses less digits than its factorization.

13093766682444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 13093766682444 in words is "thirteen trillion, ninety-three billion, seven hundred sixty-six million, six hundred eighty-two thousand, four hundred forty-four".