289201902336 has 270 divisors, whose sum is σ = 916076966420. Its totient is φ = 90728128512.

The previous prime is 289201902331. The next prime is 289201902349. The reversal of 289201902336 is 633209102982.

It is a happy number.

289201902336 is a `hidden beast` number, since 28 + 9 + 201 + 90 + 2 + 336 = 666.

It is a super-2 number, since 2×289201902336² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 289201902291 and 289201902300.

It is not an unprimeable number, because it can be changed into a prime (289201902331) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5968575 + ... + 6016833.

Almost surely, 2^289201902336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289201902336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458038483210).

289201902336 is an abundant number, since it is smaller than the sum of its proper divisors (626875064084).

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

289201902336 is an equidigital number, since it uses as much as digits as its factorization.

289201902336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48321 (or 48281 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 289201902336 in words is "two hundred eighty-nine billion, two hundred one million, nine hundred two thousand, three hundred thirty-six".