13740978048 has 256 divisors, whose sum is σ = 42606950400. Its totient is φ = 3842850816.

The previous prime is 13740978037. The next prime is 13740978073. The reversal of 13740978048 is 84087904731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46897390 + ... + 46897682.

It is an arithmetic number, because the mean of its divisors is an integer number (166433400).

Almost surely, 2^13740978048 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 13740978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21303475200).

13740978048 is an abundant number, since it is smaller than the sum of its proper divisors (28865972352).

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

13740978048 is a wasteful number, since it uses less digits than its factorization.

13740978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 13740978048 in words is "thirteen billion, seven hundred forty million, nine hundred seventy-eight thousand, forty-eight".