13731409581568 has 80 divisors (see below), whose sum is σ = 31397635779840. Its totient is φ = 5876968237056.

The previous prime is 13731409581559. The next prime is 13731409581587. The reversal of 13731409581568 is 86518590413731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84643 + ... + 5241181.

It is an arithmetic number, because the mean of its divisors is an integer number (392470447248).

Almost surely, 2^{13731409581568} 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 13731409581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15698817889920).

13731409581568 is an abundant number, since it is smaller than the sum of its proper divisors (17666226198272).

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

13731409581568 is an frugal number, since it uses more digits than its factorization.

13731409581568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157307 (or 5157291 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 13731409581568 in words is "thirteen trillion, seven hundred thirty-one billion, four hundred nine million, five hundred eighty-one thousand, five hundred sixty-eight".