1318214172672 has 336 divisors, whose sum is σ = 3953045748960. Its totient is φ = 434110464000.

The previous prime is 1318214172659. The next prime is 1318214172797. The reversal of 1318214172672 is 2762714128131.

It is a happy number.

1318214172672 is a `hidden beast` number, since 131 + 82 + 1 + 417 + 26 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2859466522 + ... + 2859466982.

It is an arithmetic number, because the mean of its divisors is an integer number (11765017110).

Almost surely, 2^{1318214172672} is an apocalyptic number.

1318214172672 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 1318214172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976522874480).

1318214172672 is an abundant number, since it is smaller than the sum of its proper divisors (2634831576288).

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

1318214172672 is an frugal number, since it uses more digits than its factorization.

1318214172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 567 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 1318214172672 in words is "one trillion, three hundred eighteen billion, two hundred fourteen million, one hundred seventy-two thousand, six hundred seventy-two".