1317906368064 has 672 divisors, whose sum is σ = 4759967721600. Its totient is φ = 342631710720.

The previous prime is 1317906368059. The next prime is 1317906368101. The reversal of 1317906368064 is 4608636097131.

It is a happy number.

1317906368064 is a `hidden beast` number, since 131 + 7 + 90 + 6 + 368 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1317906368064.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82936632 + ... + 82952520.

It is an arithmetic number, because the mean of its divisors is an integer number (7083285300).

Almost surely, 2^{1317906368064} 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 1317906368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379983860800).

1317906368064 is an abundant number, since it is smaller than the sum of its proper divisors (3442061353536).

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

1317906368064 is a wasteful number, since it uses less digits than its factorization.

1317906368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16003 (or 15990 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1317906368064 in words is "one trillion, three hundred seventeen billion, nine hundred six million, three hundred sixty-eight thousand, sixty-four".