13886544596544 has 168 divisors, whose sum is σ = 40090470171960. Its totient is φ = 4595563855872.

The previous prime is 13886544596539. The next prime is 13886544596569. The reversal of 13886544596544 is 44569544568831.

13886544596544 is a `hidden beast` number, since 1 + 3 + 8 + 86 + 5 + 445 + 9 + 65 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9555517440000 + 4331027156544 = 3091200^2 + 2081112^2 .

It is a super-2 number, since 2×13886544596544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46412994 + ... + 46711230.

Almost surely, 2^{13886544596544} 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 13886544596544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20045235085980).

13886544596544 is an abundant number, since it is smaller than the sum of its proper divisors (26203925575416).

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

13886544596544 is a wasteful number, since it uses less digits than its factorization.

13886544596544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298837 (or 298824 counting only the distinct ones).

The product of its digits is 1990656000, while the sum is 72.

The spelling of 13886544596544 in words is "thirteen trillion, eight hundred eighty-six billion, five hundred forty-four million, five hundred ninety-six thousand, five hundred forty-four".