289542838662 has 576 divisors, whose sum is σ = 867960213120. Its totient is φ = 67990855680.

The previous prime is 289542838621. The next prime is 289542838681. The reversal of 289542838662 is 266838245982.

289542838662 is a `hidden beast` number, since 2 + 8 + 9 + 542 + 8 + 3 + 86 + 6 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 289542838662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1045280868 + ... + 1045281144.

It is an arithmetic number, because the mean of its divisors is an integer number (1506875370).

Almost surely, 2^289542838662 is an apocalyptic number.

289542838662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 289542838662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433980106560).

289542838662 is an abundant number, since it is smaller than the sum of its proper divisors (578417374458).

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

289542838662 is a wasteful number, since it uses less digits than its factorization.

289542838662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 289542838662 in words is "two hundred eighty-nine billion, five hundred forty-two million, eight hundred thirty-eight thousand, six hundred sixty-two".