1317164424576 has 768 divisors, whose sum is σ = 4796008600320. Its totient is φ = 314844364800.

The previous prime is 1317164424547. The next prime is 1317164424613. The reversal of 1317164424576 is 6754244617131.

It is a congruent number.

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, 1321127310 + ... + 1321128306.

It is an arithmetic number, because the mean of its divisors is an integer number (6244802865).

Almost surely, 2^{1317164424576} is an apocalyptic number.

1317164424576 is a gapful number since it is divisible by the number (16) 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 1317164424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398004300160).

1317164424576 is an abundant number, since it is smaller than the sum of its proper divisors (3478844175744).

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

1317164424576 is a wasteful number, since it uses less digits than its factorization.

1317164424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1524 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 1317164424576 in words is "one trillion, three hundred seventeen billion, one hundred sixty-four million, four hundred twenty-four thousand, five hundred seventy-six".