289837460789664 has 384 divisors, whose sum is σ = 888395384217600. Its totient is φ = 82120545239040.

The previous prime is 289837460789627. The next prime is 289837460789699. The reversal of 289837460789664 is 466987064738982.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62153452 + ... + 66653780.

It is an arithmetic number, because the mean of its divisors is an integer number (2313529646400).

Almost surely, 2^{289837460789664} is an apocalyptic number.

289837460789664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289837460789664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444197692108800).

289837460789664 is an abundant number, since it is smaller than the sum of its proper divisors (598557923427936).

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

289837460789664 is a wasteful number, since it uses less digits than its factorization.

289837460789664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500476 (or 4500468 counting only the distinct ones).

The product of its (nonzero) digits is 42138206208, while the sum is 87.

The spelling of 289837460789664 in words is "two hundred eighty-nine trillion, eight hundred thirty-seven billion, four hundred sixty million, seven hundred eighty-nine thousand, six hundred sixty-four".