985702338432 has 896 divisors, whose sum is σ = 3686797425600. Its totient is φ = 255839109120.

The previous prime is 985702338421. The next prime is 985702338457. The reversal of 985702338432 is 234833207589.

985702338432 is a `hidden beast` number, since 9 + 8 + 570 + 2 + 3 + 38 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 322018182 + ... + 322021242.

Almost surely, 2^985702338432 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 985702338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843398712800).

985702338432 is an abundant number, since it is smaller than the sum of its proper divisors (2701095087168).

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

985702338432 is a wasteful number, since it uses less digits than its factorization.

985702338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 985702338432 in words is "nine hundred eighty-five billion, seven hundred two million, three hundred thirty-eight thousand, four hundred thirty-two".