84681258375168 has 1152 divisors, whose sum is σ = 318561281438400. Its totient is φ = 22026911219712.

The previous prime is 84681258375167. The next prime is 84681258375257. The reversal of 84681258375168 is 86157385218648.

84681258375168 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 1 + 25 + 83 + 7 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 84681258375096 and 84681258375105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84681258375167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2571302830 + ... + 2571335762.

Almost surely, 2^{84681258375168} 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 84681258375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159280640719200).

84681258375168 is an abundant number, since it is smaller than the sum of its proper divisors (233880023063232).

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

84681258375168 is a wasteful number, since it uses less digits than its factorization.

84681258375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33064 (or 33031 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 84681258375168 in words is "eighty-four trillion, six hundred eighty-one billion, two hundred fifty-eight million, three hundred seventy-five thousand, one hundred sixty-eight".