1315933267968 has 480 divisors, whose sum is σ = 4298343809760. Its totient is φ = 397799424000.

The previous prime is 1315933267937. The next prime is 1315933268009. The reversal of 1315933267968 is 8697623395131.

1315933267968 is a `hidden beast` number, since 1 + 3 + 1 + 593 + 32 + 6 + 7 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1206171103 + ... + 1206172193.

It is an arithmetic number, because the mean of its divisors is an integer number (8954882937).

Almost surely, 2^{1315933267968} is an apocalyptic number.

1315933267968 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 1315933267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149171904880).

1315933267968 is an abundant number, since it is smaller than the sum of its proper divisors (2982410541792).

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

1315933267968 is a wasteful number, since it uses less digits than its factorization.

1315933267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1768 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 1315933267968 in words is "one trillion, three hundred fifteen billion, nine hundred thirty-three million, two hundred sixty-seven thousand, nine hundred sixty-eight".