289874701401648 has 160 divisors (see below), whose sum is σ = 844314260428800. Its totient is φ = 84902162995200.

The previous prime is 289874701401647. The next prime is 289874701401671. The reversal of 289874701401648 is 846104107478982.

It is not an unprimeable number, because it can be changed into a prime (289874701401641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2296198 + ... + 24187226.

It is an arithmetic number, because the mean of its divisors is an integer number (5276964127680).

Almost surely, 2^{289874701401648} 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 289874701401648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422157130214400).

289874701401648 is an abundant number, since it is smaller than the sum of its proper divisors (554439559027152).

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

289874701401648 is a wasteful number, since it uses less digits than its factorization.

289874701401648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21891891 (or 21891885 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 69.

The spelling of 289874701401648 in words is "two hundred eighty-nine trillion, eight hundred seventy-four billion, seven hundred one million, four hundred one thousand, six hundred forty-eight".