985085406396 has 324 divisors, whose sum is σ = 3159882514152. Its totient is φ = 256476834432.

The previous prime is 985085406367. The next prime is 985085406457. The reversal of 985085406396 is 693604580589.

985085406396 is a `hidden beast` number, since 9 + 8 + 50 + 8 + 540 + 6 + 39 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 143115171 + ... + 143122053.

Almost surely, 2^985085406396 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 985085406396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579941257076).

985085406396 is an abundant number, since it is smaller than the sum of its proper divisors (2174797107756).

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

985085406396 is a wasteful number, since it uses less digits than its factorization.

985085406396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 985085406396 in words is "nine hundred eighty-five billion, eighty-five million, four hundred six thousand, three hundred ninety-six".