13807729926144 has 1008 divisors, whose sum is σ = 52312839087600. Its totient is φ = 3586082734080.

The previous prime is 13807729926073. The next prime is 13807729926173. The reversal of 13807729926144 is 44162992770831.

13807729926144 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 7 + 7 + 2 + 9 + 9 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 71 ways as a sum of consecutive naturals, for example, 1311394672 + ... + 1311405200.

It is an arithmetic number, because the mean of its divisors is an integer number (51897657825).

Almost surely, 2^{13807729926144} is an apocalyptic number.

13807729926144 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 13807729926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26156419543800).

13807729926144 is an abundant number, since it is smaller than the sum of its proper divisors (38505109161456).

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

13807729926144 is a wasteful number, since it uses less digits than its factorization.

13807729926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10600 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 13807729926144 in words is "thirteen trillion, eight hundred seven billion, seven hundred twenty-nine million, nine hundred twenty-six thousand, one hundred forty-four".