86846063496192 has 3168 divisors, whose sum is σ = 368871616655360. Its totient is φ = 19076854579200.

The previous prime is 86846063496169. The next prime is 86846063496259. The reversal of 86846063496192 is 29169436064868.

86846063496192 is a `hidden beast` number, since 8 + 6 + 8 + 4 + 60 + 63 + 496 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×86846063496192² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86846063496192.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59770173738 + ... + 59770175190.

Almost surely, 2^{86846063496192} 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 86846063496192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184435808327680).

86846063496192 is an abundant number, since it is smaller than the sum of its proper divisors (282025553159168).

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

86846063496192 is a wasteful number, since it uses less digits than its factorization.

86846063496192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 86846063496192 in words is "eighty-six trillion, eight hundred forty-six billion, sixty-three million, four hundred ninety-six thousand, one hundred ninety-two".