985860164016 has 1080 divisors, whose sum is σ = 3751026106464. Its totient is φ = 248314429440.

The previous prime is 985860164011. The next prime is 985860164021. The reversal of 985860164016 is 610461068589.

985860164016 is a `hidden beast` number, since 9 + 8 + 586 + 0 + 1 + 6 + 40 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (985860164011) and next prime (985860164021).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (985860164011) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1538003056 + ... + 1538003696.

Almost surely, 2^985860164016 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 985860164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875513053232).

985860164016 is an abundant number, since it is smaller than the sum of its proper divisors (2765165942448).

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

985860164016 is a wasteful number, since it uses less digits than its factorization.

985860164016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 985860164016 in words is "nine hundred eighty-five billion, eight hundred sixty million, one hundred sixty-four thousand, sixteen".