433829043649 has 9 divisors (see below), whose sum is σ = 448296063201. Its totient is φ = 419814798660.

The previous prime is 433829043631. The next prime is 433829043709. The reversal of 433829043649 is 946340928334.

The square root of 433829043649 is 658657.

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

It is not a de Polignac number, because 433829043649 - 2¹³ = 433829035457 is a prime.

It is a super-2 number, since 2×433829043649² (a number of 24 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 433829043649.

It is not an unprimeable number, because it can be changed into a prime (433829043629) 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, 20407744 + ... + 20428990.

It is an arithmetic number, because the mean of its divisors is an integer number (49810673689).

Almost surely, 2^433829043649 is an apocalyptic number.

433829043649 is the 658657-th square number.

433829043649 is the 329329-th centered octagonal number.

It is an amenable number.

433829043649 is a deficient number, since it is larger than the sum of its proper divisors (14467019552).

433829043649 is an frugal number, since it uses more digits than its factorization.

433829043649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42556 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 55.

The spelling of 433829043649 in words is "four hundred thirty-three billion, eight hundred twenty-nine million, forty-three thousand, six hundred forty-nine".