1001696719104 has 243 divisors, whose sum is σ = 2995329703093. Its totient is φ = 321936771072.

The previous prime is 1001696719099. The next prime is 1001696719109. The reversal of 1001696719104 is 4019176961001.

The square root of 1001696719104 is 1000848.

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

It is an interprime number because it is at equal distance from previous prime (1001696719099) and next prime (1001696719109).

It can be written as a sum of positive squares in only one way, i.e., 525265461504 + 476431257600 = 724752^2 + 690240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001696719104.

It is not an unprimeable number, because it can be changed into a prime (1001696719109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1393180057 + ... + 1393180775.

Almost surely, 2^{1001696719104} is an apocalyptic number.

1001696719104 is the 1000848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001696719104

1001696719104 is an abundant number, since it is smaller than the sum of its proper divisors (1993632983989).

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

1001696719104 is an frugal number, since it uses more digits than its factorization.

1001696719104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1001696719104 in words is "one trillion, one billion, six hundred ninety-six million, seven hundred nineteen thousand, one hundred four".