985225409784 has 1280 divisors, whose sum is σ = 3746856960000. Its totient is φ = 239084939520.

The previous prime is 985225409783. The next prime is 985225409789. The reversal of 985225409784 is 487904522589.

985225409784 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 2 + 540 + 9 + 7 + 84 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985225409783) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5899553269 + ... + 5899553435.

It is an arithmetic number, because the mean of its divisors is an integer number (2927232000).

Almost surely, 2^985225409784 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 985225409784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873428480000).

985225409784 is an abundant number, since it is smaller than the sum of its proper divisors (2761631550216).

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

985225409784 is a wasteful number, since it uses less digits than its factorization.

985225409784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 985225409784 in words is "nine hundred eighty-five billion, two hundred twenty-five million, four hundred nine thousand, seven hundred eighty-four".