1314094586112 has 720 divisors, whose sum is σ = 5172743866752. Its totient is φ = 321238794240.

The previous prime is 1314094586111. The next prime is 1314094586131. The reversal of 1314094586112 is 2116854904131.

1314094586112 is a `hidden beast` number, since 13 + 1 + 40 + 9 + 4 + 586 + 1 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1314094586111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27119218 + ... + 27167630.

Almost surely, 2^{1314094586112} is an apocalyptic number.

1314094586112 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 1314094586112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586371933376).

1314094586112 is an abundant number, since it is smaller than the sum of its proper divisors (3858649280640).

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

1314094586112 is a wasteful number, since it uses less digits than its factorization.

1314094586112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48476 (or 48453 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1314094586112 in words is "one trillion, three hundred fourteen billion, ninety-four million, five hundred eighty-six thousand, one hundred twelve".