13412660544 has 336 divisors, whose sum is σ = 42526458000. Its totient is φ = 4022796288.

The previous prime is 13412660461. The next prime is 13412660581. The reversal of 13412660544 is 44506621431.

13412660544 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 6 + 605 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1419782400 + 11992878144 = 37680^2 + 109512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13412660499 and 13412660508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42311074 + ... + 42311390.

Almost surely, 2^13412660544 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 13412660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21263229000).

13412660544 is an abundant number, since it is smaller than the sum of its proper divisors (29113797456).

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

13412660544 is a wasteful number, since it uses less digits than its factorization.

13412660544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13412660544 in words is "thirteen billion, four hundred twelve million, six hundred sixty thousand, five hundred forty-four".