203457829969 has 9 divisors (see below), whose sum is σ = 206396281819. Its totient is φ = 200560652320.

The previous prime is 203457829919. The next prime is 203457829997. The reversal of 203457829969 is 969928754302.

The square root of 203457829969 is 451063.

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

It can be written as a sum of positive squares in only one way, i.e., 93424979025 + 110032850944 = 305655^2 + 331712^2 .

It is not a de Polignac number, because 203457829969 - 2¹⁵ = 203457797201 is a prime.

It is a super-2 number, since 2×203457829969² (a number of 23 digits) contains 22 as substring.

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 203457829969.

It is not an unprimeable number, because it can be changed into a prime (203457829919) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32022297 + ... + 32028649.

Almost surely, 2^203457829969 is an apocalyptic number.

203457829969 is the 451063-rd square number.

203457829969 is the 225532-nd centered octagonal number.

It is an amenable number.

203457829969 is a deficient number, since it is larger than the sum of its proper divisors (2938451850).

203457829969 is an frugal number, since it uses more digits than its factorization.

203457829969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12848 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 203457829969 by its sum of digits (64), we get a square (13021301118016 = 3608504²).

The spelling of 203457829969 in words is "two hundred three billion, four hundred fifty-seven million, eight hundred twenty-nine thousand, nine hundred sixty-nine".