289241252352 has 1280 divisors, whose sum is σ = 1055932416000. Its totient is φ = 77253378048.

The previous prime is 289241252347. The next prime is 289241252359. The reversal of 289241252352 is 253252142982.

289241252352 is a `hidden beast` number, since 2 + 8 + 9 + 2 + 41 + 252 + 352 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (691200) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 289241252298 and 289241252307.

It is not an unprimeable number, because it can be changed into a prime (289241252359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2277490113 + ... + 2277490239.

It is an arithmetic number, because the mean of its divisors is an integer number (824947200).

Almost surely, 2^289241252352 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 289241252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208000).

289241252352 is an abundant number, since it is smaller than the sum of its proper divisors (766691163648).

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

289241252352 is a wasteful number, since it uses less digits than its factorization.

289241252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 289241252352 in words is "two hundred eighty-nine billion, two hundred forty-one million, two hundred fifty-two thousand, three hundred fifty-two".