1393457882112 has 264 divisors, whose sum is σ = 4054997804832. Its totient is φ = 460873728000.

The previous prime is 1393457882111. The next prime is 1393457882231. The reversal of 1393457882112 is 2112887543931.

1393457882112 is a `hidden beast` number, since 1 + 3 + 9 + 34 + 578 + 8 + 21 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1393457882111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779774083 + ... + 779775869.

Almost surely, 2^{1393457882112} is an apocalyptic number.

1393457882112 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 1393457882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027498902416).

1393457882112 is an abundant number, since it is smaller than the sum of its proper divisors (2661539922720).

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

1393457882112 is a wasteful number, since it uses less digits than its factorization.

1393457882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2404 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 1393457882112 in words is "one trillion, three hundred ninety-three billion, four hundred fifty-seven million, eight hundred eighty-two thousand, one hundred twelve".