1731396693312 has 672 divisors, whose sum is σ = 6052759608960. Its totient is φ = 481081835520.

The previous prime is 1731396693241. The next prime is 1731396693319. The reversal of 1731396693312 is 2133966931371.

It is a happy number.

1731396693312 is a `hidden beast` number, since 1 + 7 + 313 + 9 + 6 + 6 + 9 + 3 + 312 = 666.

It is a super-2 number, since 2×1731396693312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1731396693319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 504337548 + ... + 504340980.

Almost surely, 2^{1731396693312} is an apocalyptic number.

1731396693312 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 1731396693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026379804480).

1731396693312 is an abundant number, since it is smaller than the sum of its proper divisors (4321362915648).

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

1731396693312 is a wasteful number, since it uses less digits than its factorization.

1731396693312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3619 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The spelling of 1731396693312 in words is "one trillion, seven hundred thirty-one billion, three hundred ninety-six million, six hundred ninety-three thousand, three hundred twelve".