1318743638784 has 1440 divisors, whose sum is σ = 4936191321600. Its totient is φ = 344224235520.

The previous prime is 1318743638777. The next prime is 1318743638809. The reversal of 1318743638784 is 4878363478131.

1318743638784 is a `hidden beast` number, since 13 + 1 + 87 + 436 + 38 + 7 + 84 = 666.

It is a super-3 number, since 3×1318743638784³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5014234237 + ... + 5014234499.

It is an arithmetic number, because the mean of its divisors is an integer number (3427910640).

Almost surely, 2^{1318743638784} 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 1318743638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468095660800).

1318743638784 is an abundant number, since it is smaller than the sum of its proper divisors (3617447682816).

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

1318743638784 is a wasteful number, since it uses less digits than its factorization.

1318743638784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 1318743638784 in words is "one trillion, three hundred eighteen billion, seven hundred forty-three million, six hundred thirty-eight thousand, seven hundred eighty-four".