996457143529 has 27 divisors (see below), whose sum is σ = 1036119624933. Its totient is φ = 958297920000.

The previous prime is 996457143481. The next prime is 996457143541. The reversal of 996457143529 is 925341754699.

996457143529 = 71572² + 71573² + ... + 71765².

The square root of 996457143529 is 998227.

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 331827842025 + 664629301504 = 576045^2 + 815248^2 .

It is not a de Polignac number, because 996457143529 - 2³¹ = 994309659881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (996457143589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3969948654 + ... + 3969948904.

Almost surely, 2^996457143529 is an apocalyptic number.

996457143529 is the 998227-th square number.

996457143529 is the 499114-th centered octagonal number.

It is an amenable number.

996457143529 is a deficient number, since it is larger than the sum of its proper divisors (39662481404).

996457143529 is an frugal number, since it uses more digits than its factorization.

996457143529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 64.

Multiplying 996457143529 by its sum of digits (64), we get a square (63773257185856 = 7985816²).

The spelling of 996457143529 in words is "nine hundred ninety-six billion, four hundred fifty-seven million, one hundred forty-three thousand, five hundred twenty-nine".