1315605570048 has 2560 divisors, whose sum is σ = 5600212992000. Its totient is φ = 294298583040.

The previous prime is 1315605570017. The next prime is 1315605570049. The reversal of 1315605570048 is 8400755065131.

1315605570048 is a `hidden beast` number, since 1 + 3 + 1 + 56 + 0 + 557 + 0 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1315605569985 and 1315605570012.

It is not an unprimeable number, because it can be changed into a prime (1315605570049) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12069775818 + ... + 12069775926.

It is an arithmetic number, because the mean of its divisors is an integer number (2187583200).

Almost surely, 2^{1315605570048} is an apocalyptic number.

1315605570048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315605570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800106496000).

1315605570048 is an abundant number, since it is smaller than the sum of its proper divisors (4284607421952).

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

1315605570048 is a wasteful number, since it uses less digits than its factorization.

1315605570048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1315605570048 in words is "one trillion, three hundred fifteen billion, six hundred five million, five hundred seventy thousand, forty-eight".