1309978678848 has 672 divisors, whose sum is σ = 4384651875840. Its totient is φ = 342811607040.

The previous prime is 1309978678843. The next prime is 1309978678861. The reversal of 1309978678848 is 8488768799031.

It is a Cunningham number, because it is equal to 1144543²-1.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1309978678843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1721390788 + ... + 1721391548.

Almost surely, 2^{1309978678848} 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 1309978678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192325937920).

1309978678848 is an abundant number, since it is smaller than the sum of its proper divisors (3074673196992).

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

1309978678848 is a wasteful number, since it uses less digits than its factorization.

1309978678848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 78.

The spelling of 1309978678848 in words is "one trillion, three hundred nine billion, nine hundred seventy-eight million, six hundred seventy-eight thousand, eight hundred forty-eight".