1711812813312 has 320 divisors, whose sum is σ = 5344970400000. Its totient is φ = 476624977920.

The previous prime is 1711812813229. The next prime is 1711812813349. The reversal of 1711812813312 is 2133182181171.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550597614 + ... + 550600722.

It is an arithmetic number, because the mean of its divisors is an integer number (16703032500).

Almost surely, 2^{1711812813312} is an apocalyptic number.

1711812813312 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 1711812813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672485200000).

1711812813312 is an abundant number, since it is smaller than the sum of its proper divisors (3633157586688).

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

1711812813312 is a wasteful number, since it uses less digits than its factorization.

1711812813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4411 counting only the distinct ones).

The product of its digits is 16128, while the sum is 39.

Adding to 1711812813312 its reverse (2133182181171), we get a palindrome (3844994994483).

The spelling of 1711812813312 in words is "one trillion, seven hundred eleven billion, eight hundred twelve million, eight hundred thirteen thousand, three hundred twelve".