13773380965344 has 1728 divisors, whose sum is σ = 54459763368192. Its totient is φ = 3245443891200.

The previous prime is 13773380965283. The next prime is 13773380965427. The reversal of 13773380965344 is 44356908337731.

13773380965344 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 3 + 3 + 8 + 0 + 96 + 534 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49015590484 + ... + 49015590764.

It is an arithmetic number, because the mean of its divisors is an integer number (31516066764).

Almost surely, 2^{13773380965344} is an apocalyptic number.

13773380965344 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 13773380965344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27229881684096).

13773380965344 is an abundant number, since it is smaller than the sum of its proper divisors (40686382402848).

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

13773380965344 is a wasteful number, since it uses less digits than its factorization.

13773380965344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 13773380965344 in words is "thirteen trillion, seven hundred seventy-three billion, three hundred eighty million, nine hundred sixty-five thousand, three hundred forty-four".