289042193664 has 432 divisors, whose sum is σ = 1002552631808. Its totient is φ = 81342683136.

The previous prime is 289042193621. The next prime is 289042193669. The reversal of 289042193664 is 466391240982.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 289042193664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289042193669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29170599 + ... + 29180505.

Almost surely, 2^289042193664 is an apocalyptic number.

289042193664 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 289042193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501276315904).

289042193664 is an abundant number, since it is smaller than the sum of its proper divisors (713510438144).

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

289042193664 is an frugal number, since it uses more digits than its factorization.

289042193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012 (or 9986 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 289042193664 in words is "two hundred eighty-nine billion, forty-two million, one hundred ninety-three thousand, six hundred sixty-four".