84130886112 has 384 divisors, whose sum is σ = 287456698368. Its totient is φ = 20946124800.

The previous prime is 84130886023. The next prime is 84130886117. The reversal of 84130886112 is 21168803148.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84130886117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11099668 + ... + 11107244.

It is an arithmetic number, because the mean of its divisors is an integer number (748585152).

Almost surely, 2^84130886112 is an apocalyptic number.

84130886112 is a gapful number since it is divisible by the number (82) 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 84130886112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143728349184).

84130886112 is an abundant number, since it is smaller than the sum of its proper divisors (203325812256).

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

84130886112 is a wasteful number, since it uses less digits than its factorization.

84130886112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 84130886112 in words is "eighty-four billion, one hundred thirty million, eight hundred eighty-six thousand, one hundred twelve".