289442924001 has 243 divisors, whose sum is σ = 572045862297. Its totient is φ = 140482298880.

The previous prime is 289442923981. The next prime is 289442924039. The reversal of 289442924001 is 100429244982.

The square root of 289442924001 is 537999.

It is a perfect power (a square), and thus also a powerful number.

289442924001 is a `hidden beast` number, since 2 + 89 + 442 + 92 + 40 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40481842401 + 248961081600 = 201201^2 + 498960^2 .

It is not a de Polignac number, because 289442924001 - 2⁵ = 289442923969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289442924501) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2112722005 + ... + 2112722141.

Almost surely, 2^289442924001 is an apocalyptic number.

289442924001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

289442924001 is the 537999-th square number.

289442924001 is the 269000-th centered octagonal number.

It is an amenable number.

289442924001 is a deficient number, since it is larger than the sum of its proper divisors (282602938296).

289442924001 is a wasteful number, since it uses less digits than its factorization.

289442924001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 289442924001 in words is "two hundred eighty-nine billion, four hundred forty-two million, nine hundred twenty-four thousand, one".