84123261288 has 256 divisors, whose sum is σ = 259695590400. Its totient is φ = 25017189120.

The previous prime is 84123261283. The next prime is 84123261289. The reversal of 84123261288 is 88216232148.

84123261288 is a `hidden beast` number, since 8 + 4 + 1 + 23 + 2 + 612 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84123261283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50463031 + ... + 50464697.

It is an arithmetic number, because the mean of its divisors is an integer number (1014435900).

Almost surely, 2^84123261288 is an apocalyptic number.

84123261288 is a gapful number since it is divisible by the number (88) 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 84123261288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129847795200).

84123261288 is an abundant number, since it is smaller than the sum of its proper divisors (175572329112).

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

84123261288 is a wasteful number, since it uses less digits than its factorization.

84123261288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2067 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 84123261288 in words is "eighty-four billion, one hundred twenty-three million, two hundred sixty-one thousand, two hundred eighty-eight".