1729498530816 has 891 divisors, whose sum is σ = 6191161475031. Its totient is φ = 463589941248.

The previous prime is 1729498530811. The next prime is 1729498530841. The reversal of 1729498530816 is 6180358949271.

The square root of 1729498530816 is 1315104.

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

1729498530816 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 4 + 98 + 530 + 8 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1729498530811) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16791247821 + ... + 16791247923.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1729498530816 = 3458997061632, but 3⋅1729498530816 = 5188495592448 is not.

Almost surely, 2^{1729498530816} is an apocalyptic number.

1729498530816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1729498530816 is the 1315104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729498530816

1729498530816 is an abundant number, since it is smaller than the sum of its proper divisors (4461662944215).

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

1729498530816 is a wasteful number, since it uses less digits than its factorization.

1729498530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1729498530816 in words is "one trillion, seven hundred twenty-nine billion, four hundred ninety-eight million, five hundred thirty thousand, eight hundred sixteen".