8086346785152 has 192 divisors, whose sum is σ = 24284847459600. Its totient is φ = 2678278846464.

The previous prime is 8086346785051. The next prime is 8086346785189. The reversal of 8086346785152 is 2515876436808.

8086346785152 is a `hidden beast` number, since 8 + 0 + 8 + 6 + 3 + 46 + 78 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×8086346785152³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8086346785152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4055374 + ... + 5711282.

Almost surely, 2^{8086346785152} 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 8086346785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142423729800).

8086346785152 is an abundant number, since it is smaller than the sum of its proper divisors (16198500674448).

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

8086346785152 is a wasteful number, since it uses less digits than its factorization.

8086346785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656095 (or 1656071 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 8086346785152 in words is "eight trillion, eighty-six billion, three hundred forty-six million, seven hundred eighty-five thousand, one hundred fifty-two".