985846505952 has 768 divisors, whose sum is σ = 3578093568000. Its totient is φ = 234710784000.

The previous prime is 985846505909. The next prime is 985846505981. The reversal of 985846505952 is 259505648589.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213338202 + ... + 213342822.

It is an arithmetic number, because the mean of its divisors is an integer number (4658976000).

Almost surely, 2^985846505952 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 985846505952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789046784000).

985846505952 is an abundant number, since it is smaller than the sum of its proper divisors (2592247062048).

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

985846505952 is a wasteful number, since it uses less digits than its factorization.

985846505952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 66.

The spelling of 985846505952 in words is "nine hundred eighty-five billion, eight hundred forty-six million, five hundred five thousand, nine hundred fifty-two".