1729056684096 has 315 divisors, whose sum is σ = 5964562547229. Its totient is φ = 493826844672.

The previous prime is 1729056684031. The next prime is 1729056684119. The reversal of 1729056684096 is 6904866509271.

The square root of 1729056684096 is 1314936.

It is a perfect power (a square), and thus also a powerful number.

1729056684096 is a `hidden beast` number, since 1 + 7 + 29 + 0 + 566 + 8 + 40 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 831262533696 + 897794150400 = 911736^2 + 947520^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 662726440 + ... + 662729048.

Almost surely, 2^{1729056684096} is an apocalyptic number.

1729056684096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1729056684096 is the 1314936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729056684096

1729056684096 is an abundant number, since it is smaller than the sum of its proper divisors (4235505863133).

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

1729056684096 is an frugal number, since it uses more digits than its factorization.

1729056684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1729056684096 in words is "one trillion, seven hundred twenty-nine billion, fifty-six million, six hundred eighty-four thousand, ninety-six".