1721063631312 has 240 divisors, whose sum is σ = 5388601982400. Its totient is φ = 529752877056.

The previous prime is 1721063631293. The next prime is 1721063631377. The reversal of 1721063631312 is 2131363601271.

1721063631312 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 0 + 6 + 3 + 631 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3257439 + ... + 3748737.

It is an arithmetic number, because the mean of its divisors is an integer number (22452508260).

Almost surely, 2^{1721063631312} is an apocalyptic number.

1721063631312 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 1721063631312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694300991200).

1721063631312 is an abundant number, since it is smaller than the sum of its proper divisors (3667538351088).

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

1721063631312 is a wasteful number, since it uses less digits than its factorization.

1721063631312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491392 (or 491374 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1721063631312 in words is "one trillion, seven hundred twenty-one billion, sixty-three million, six hundred thirty-one thousand, three hundred twelve".