289731955968 has 1296 divisors, whose sum is σ = 1115381170176. Its totient is φ = 73365626880.

The previous prime is 289731955943. The next prime is 289731955973. The reversal of 289731955968 is 869559137982.

289731955968 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 3 + 1 + 9 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 289731955896 and 289731955905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2281353921 + ... + 2281354047.

Almost surely, 2^289731955968 is an apocalyptic number.

289731955968 is a gapful number since it is divisible by the number (28) 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 289731955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557690585088).

289731955968 is an abundant number, since it is smaller than the sum of its proper divisors (825649214208).

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

289731955968 is a wasteful number, since it uses less digits than its factorization.

289731955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 183 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 289731955968 in words is "two hundred eighty-nine billion, seven hundred thirty-one million, nine hundred fifty-five thousand, nine hundred sixty-eight".