1722611987712 has 864 divisors, whose sum is σ = 6409931673600. Its totient is φ = 440971776000.

The previous prime is 1722611987711. The next prime is 1722611987731. The reversal of 1722611987712 is 2177891162271.

1722611987712 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 611 + 9 + 8 + 7 + 7 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1722611987711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617201037 + ... + 617203827.

It is an arithmetic number, because the mean of its divisors is an integer number (7418902400).

Almost surely, 2^{1722611987712} is an apocalyptic number.

1722611987712 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 1722611987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204965836800).

1722611987712 is an abundant number, since it is smaller than the sum of its proper divisors (4687319685888).

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

1722611987712 is a wasteful number, since it uses less digits than its factorization.

1722611987712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2885 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 54.

The spelling of 1722611987712 in words is "one trillion, seven hundred twenty-two billion, six hundred eleven million, nine hundred eighty-seven thousand, seven hundred twelve".