1317358496160 has 1152 divisors, whose sum is σ = 5636019916800. Its totient is φ = 273675386880.

The previous prime is 1317358496147. The next prime is 1317358496173. The reversal of 1317358496160 is 616948537131.

1317358496160 is a `hidden beast` number, since 1 + 3 + 17 + 3 + 5 + 8 + 4 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1317358496147) and next prime (1317358496173).

It is a junction number, because it is equal to n+sod(n) for n = 1317358496097 and 1317358496106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335289076 + ... + 335293004.

It is an arithmetic number, because the mean of its divisors is an integer number (4892378400).

Almost surely, 2^{1317358496160} is an apocalyptic number.

1317358496160 is a gapful number since it is divisible by the number (10) 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 1317358496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818009958400).

1317358496160 is an abundant number, since it is smaller than the sum of its proper divisors (4318661420640).

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

1317358496160 is a wasteful number, since it uses less digits than its factorization.

1317358496160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1317358496160 in words is "one trillion, three hundred seventeen billion, three hundred fifty-eight million, four hundred ninety-six thousand, one hundred sixty".