84088914912 has 240 divisors, whose sum is σ = 257487742512. Its totient is φ = 26896250880.

The previous prime is 84088914887. The next prime is 84088914913. The reversal of 84088914912 is 21941988048.

It is a happy number.

84088914912 is a `hidden beast` number, since 8 + 408 + 89 + 149 + 12 = 666.

It is a super-2 number, since 2×84088914912² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84088914913) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6994987 + ... + 7006997.

Almost surely, 2^84088914912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84088914912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128743871256).

84088914912 is an abundant number, since it is smaller than the sum of its proper divisors (173398827600).

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

84088914912 is a wasteful number, since it uses less digits than its factorization.

84088914912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 84088914912 in words is "eighty-four billion, eighty-eight million, nine hundred fourteen thousand, nine hundred twelve".