13731062221716 has 192 divisors, whose sum is σ = 39336631369728. Its totient is φ = 3642828723072.

The previous prime is 13731062221649. The next prime is 13731062221727. The reversal of 13731062221716 is 61712226013731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13034385 + ... + 14048391.

It is an arithmetic number, because the mean of its divisors is an integer number (204878288384).

Almost surely, 2^{13731062221716} 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 13731062221716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668315684864).

13731062221716 is an abundant number, since it is smaller than the sum of its proper divisors (25605569148012).

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

13731062221716 is a wasteful number, since it uses less digits than its factorization.

13731062221716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014250 (or 1014248 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13731062221716 in words is "thirteen trillion, seven hundred thirty-one billion, sixty-two million, two hundred twenty-one thousand, seven hundred sixteen".