2731713516648 has 96 divisors (see below), whose sum is σ = 7569373743360. Its totient is φ = 889596708480.

The previous prime is 2731713516619. The next prime is 2731713516661. The reversal of 2731713516648 is 8466153171372.

2731713516648 is a `hidden beast` number, since 2 + 73 + 1 + 7 + 13 + 516 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2731713516594 and 2731713516603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1160253 + ... + 2609523.

It is an arithmetic number, because the mean of its divisors is an integer number (78847643160).

Almost surely, 2^{2731713516648} 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 2731713516648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784686871680).

2731713516648 is an abundant number, since it is smaller than the sum of its proper divisors (4837660226712).

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

2731713516648 is a wasteful number, since it uses less digits than its factorization.

2731713516648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449887 (or 1449880 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 2731713516648 in words is "two trillion, seven hundred thirty-one billion, seven hundred thirteen million, five hundred sixteen thousand, six hundred forty-eight".