289948082651136 has 1200 divisors, whose sum is σ = 1083644555642880. Its totient is φ = 75214309294080.

The previous prime is 289948082651119. The next prime is 289948082651147. The reversal of 289948082651136 is 631156280849982.

289948082651136 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 4 + 80 + 8 + 26 + 511 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7366734625 + ... + 7366773983.

Almost surely, 2^{289948082651136} is an apocalyptic number.

289948082651136 is a gapful number since it is divisible by the number (26) 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 289948082651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541822277821440).

289948082651136 is an abundant number, since it is smaller than the sum of its proper divisors (793696472991744).

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

289948082651136 is an equidigital number, since it uses as much as digits as its factorization.

289948082651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39480 (or 39445 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 289948082651136 in words is "two hundred eighty-nine trillion, nine hundred forty-eight billion, eighty-two million, six hundred fifty-one thousand, one hundred thirty-six".