1315208828304 has 720 divisors, whose sum is σ = 4497515979840. Its totient is φ = 357462927360.

The previous prime is 1315208828291. The next prime is 1315208828309. The reversal of 1315208828304 is 4038288025131.

1315208828304 is a `hidden beast` number, since 1 + 315 + 2 + 0 + 8 + 8 + 28 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1315208828304.

It is not an unprimeable number, because it can be changed into a prime (1315208828309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1701434062 + ... + 1701434834.

It is an arithmetic number, because the mean of its divisors is an integer number (6246549972).

Almost surely, 2^{1315208828304} is an apocalyptic number.

1315208828304 is a gapful number since it is divisible by the number (14) 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 1315208828304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248757989920).

1315208828304 is an abundant number, since it is smaller than the sum of its proper divisors (3182307151536).

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

1315208828304 is a wasteful number, since it uses less digits than its factorization.

1315208828304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1315208828304 in words is "one trillion, three hundred fifteen billion, two hundred eight million, eight hundred twenty-eight thousand, three hundred four".