84791688048144 has 800 divisors, whose sum is σ = 319272693811200. Its totient is φ = 21066004903680.

The previous prime is 84791688048103. The next prime is 84791688048163. The reversal of 84791688048144 is 44184088619748.

84791688048144 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 1 + 68 + 80 + 481 + 4 + 4 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1018269199 + ... + 1018352465.

It is an arithmetic number, because the mean of its divisors is an integer number (399090867264).

Almost surely, 2^{84791688048144} is an apocalyptic number.

84791688048144 is a gapful number since it is divisible by the number (84) 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 84791688048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159636346905600).

84791688048144 is an abundant number, since it is smaller than the sum of its proper divisors (234481005763056).

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

84791688048144 is a wasteful number, since it uses less digits than its factorization.

84791688048144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83358 (or 83313 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 84791688048144 in words is "eighty-four trillion, seven hundred ninety-one billion, six hundred eighty-eight million, forty-eight thousand, one hundred forty-four".