986185413312 has 84 divisors (see below), whose sum is σ = 2868054099288. Its totient is φ = 298844057600.

The previous prime is 986185413299. The next prime is 986185413431. The reversal of 986185413312 is 213314581689.

986185413312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×986185413312³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21201489 + ... + 21247952.

It is an arithmetic number, because the mean of its divisors is an integer number (34143501182).

Almost surely, 2^986185413312 is an apocalyptic number.

It is an amenable number.

986185413312 is an abundant number, since it is smaller than the sum of its proper divisors (1881868685976).

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

986185413312 is a wasteful number, since it uses less digits than its factorization.

986185413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42449478 (or 42449457 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 986185413312 in words is "nine hundred eighty-six billion, one hundred eighty-five million, four hundred thirteen thousand, three hundred twelve".