1712104265664 has 168 divisors, whose sum is σ = 5287041810960. Its totient is φ = 526591107072.

The previous prime is 1712104265639. The next prime is 1712104265699. The reversal of 1712104265664 is 4665624012171.

1712104265664 is a `hidden beast` number, since 1 + 7 + 1 + 210 + 426 + 5 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19267224 + ... + 19355880.

It is an arithmetic number, because the mean of its divisors is an integer number (31470486970).

Almost surely, 2^{1712104265664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1712104265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643520905480).

1712104265664 is an abundant number, since it is smaller than the sum of its proper divisors (3574937545296).

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

1712104265664 is a wasteful number, since it uses less digits than its factorization.

1712104265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91267 (or 91254 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1712104265664 in words is "one trillion, seven hundred twelve billion, one hundred four million, two hundred sixty-five thousand, six hundred sixty-four".