289034152704 has 216 divisors, whose sum is σ = 909710382672. Its totient is φ = 87528898560.

The previous prime is 289034152697. The next prime is 289034152747. The reversal of 289034152704 is 407251430982.

289034152704 is a `hidden beast` number, since 2 + 8 + 90 + 34 + 1 + 527 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 289034152704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54562984 + ... + 54568280.

It is an arithmetic number, because the mean of its divisors is an integer number (4211622142).

Almost surely, 2^289034152704 is an apocalyptic number.

289034152704 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 289034152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454855191336).

289034152704 is an abundant number, since it is smaller than the sum of its proper divisors (620676229968).

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

289034152704 is a wasteful number, since it uses less digits than its factorization.

289034152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 289034152704 in words is "two hundred eighty-nine billion, thirty-four million, one hundred fifty-two thousand, seven hundred four".