13384806407544 has 256 divisors, whose sum is σ = 40676068339200. Its totient is φ = 3614146099200.

The previous prime is 13384806407513. The next prime is 13384806407591. The reversal of 13384806407544 is 44570460848331.

It is a super-2 number, since 2×13384806407544² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613380154 + ... + 613401974.

It is an arithmetic number, because the mean of its divisors is an integer number (158890891950).

Almost surely, 2^{13384806407544} 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 13384806407544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338034169600).

13384806407544 is an abundant number, since it is smaller than the sum of its proper divisors (27291261931656).

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

13384806407544 is a wasteful number, since it uses less digits than its factorization.

13384806407544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28046 (or 28042 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 13384806407544 in words is "thirteen trillion, three hundred eighty-four billion, eight hundred six million, four hundred seven thousand, five hundred forty-four".