996129751969 has 27 divisors (see below), whose sum is σ = 1122783540697. Its totient is φ = 883086142400.

The previous prime is 996129751963. The next prime is 996129752063. The reversal of 996129751969 is 969157921699.

The square root of 996129751969 is 998063.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18380580625 + 977749171344 = 135575^2 + 988812^2 .

It is not a de Polignac number, because 996129751969 - 2³ = 996129751961 is a prime.

It is a super-2 number, since 2×996129751969² (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 (996129751961) 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, 450125307 + ... + 450127519.

Almost surely, 2^996129751969 is an apocalyptic number.

996129751969 is the 998063-rd square number.

996129751969 is the 499032-nd centered octagonal number.

It is an amenable number.

996129751969 is a deficient number, since it is larger than the sum of its proper divisors (126653788728).

996129751969 is an frugal number, since it uses more digits than its factorization.

996129751969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 2265 counting only the distinct ones).

The product of its digits is 148803480, while the sum is 73.

The spelling of 996129751969 in words is "nine hundred ninety-six billion, one hundred twenty-nine million, seven hundred fifty-one thousand, nine hundred sixty-nine".