719104000000 has 315 divisors, whose sum is σ = 1832240629051. Its totient is φ = 282214400000.

The previous prime is 719103999983. The next prime is 719104000007. The reversal of 719104000000 is 401917.

The square root of 719104000000 is 848000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 691585171456 + 27518828544 = 831616^2 + 165888^2 .

It is a super-2 number, since 2×719104000000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (719104000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 13567999974 + ... + 13568000026.

Almost surely, 2^719104000000 is an apocalyptic number.

719104000000 is the 848000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 719104000000

719104000000 is an abundant number, since it is smaller than the sum of its proper divisors (1113136629051).

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

719104000000 is an frugal number, since it uses more digits than its factorization.

719104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 719104000000 its reverse (401917), we get a palindrome (719104401917).

The spelling of 719104000000 in words is "seven hundred nineteen billion, one hundred four million", and thus it is an aban number.