289633386432 has 224 divisors, whose sum is σ = 840553056000. Its totient is φ = 87472300032.

The previous prime is 289633386359. The next prime is 289633386461. The reversal of 289633386432 is 234683336982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137985319 + ... + 137987417.

It is an arithmetic number, because the mean of its divisors is an integer number (3752469000).

Almost surely, 2^289633386432 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 289633386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420276528000).

289633386432 is an abundant number, since it is smaller than the sum of its proper divisors (550919669568).

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

289633386432 is a wasteful number, since it uses less digits than its factorization.

289633386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3113 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 57.

The spelling of 289633386432 in words is "two hundred eighty-nine billion, six hundred thirty-three million, three hundred eighty-six thousand, four hundred thirty-two".