1318378918272 has 384 divisors, whose sum is σ = 3958818181920. Its totient is φ = 388177920000.

The previous prime is 1318378918267. The next prime is 1318378918277. The reversal of 1318378918272 is 2728198738131.

It is an interprime number because it is at equal distance from previous prime (1318378918267) and next prime (1318378918277).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318378918277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146465772 + ... + 146474772.

Almost surely, 2^{1318378918272} is an apocalyptic number.

1318378918272 is a gapful number since it is divisible by the number (12) 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 1318378918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979409090960).

1318378918272 is an abundant number, since it is smaller than the sum of its proper divisors (2640439263648).

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

1318378918272 is a wasteful number, since it uses less digits than its factorization.

1318378918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9117 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 60.

The spelling of 1318378918272 in words is "one trillion, three hundred eighteen billion, three hundred seventy-eight million, nine hundred eighteen thousand, two hundred seventy-two".