86612407063848 has 192 divisors, whose sum is σ = 249228464958720. Its totient is φ = 27079179724800.

The previous prime is 86612407063843. The next prime is 86612407063909. The reversal of 86612407063848 is 84836070421668.

86612407063848 is a `hidden beast` number, since 8 + 6 + 6 + 1 + 240 + 7 + 0 + 6 + 384 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (86612407063841) 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 47 ways as a sum of consecutive naturals, for example, 417734461 + ... + 417941747.

It is an arithmetic number, because the mean of its divisors is an integer number (1298064921660).

Almost surely, 2^{86612407063848} 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 86612407063848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124614232479360).

86612407063848 is an abundant number, since it is smaller than the sum of its proper divisors (162616057894872).

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

86612407063848 is a wasteful number, since it uses less digits than its factorization.

86612407063848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208488 (or 208481 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 86612407063848 in words is "eighty-six trillion, six hundred twelve billion, four hundred seven million, sixty-three thousand, eight hundred forty-eight".