13923870326784 has 840 divisors, whose sum is σ = 45951219246240. Its totient is φ = 4181970124800.

The previous prime is 13923870326761. The next prime is 13923870326869. The reversal of 13923870326784 is 48762307832931.

13923870326784 is a `hidden beast` number, since 1 + 3 + 9 + 238 + 7 + 0 + 326 + 78 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17211211372 + ... + 17211212180.

It is an arithmetic number, because the mean of its divisors is an integer number (54703832436).

Almost surely, 2^{13923870326784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13923870326784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22975609623120).

13923870326784 is an abundant number, since it is smaller than the sum of its proper divisors (32027348919456).

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

13923870326784 is an frugal number, since it uses more digits than its factorization.

13923870326784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 13923870326784 in words is "thirteen trillion, nine hundred twenty-three billion, eight hundred seventy million, three hundred twenty-six thousand, seven hundred eighty-four".