984225116160 has 1456 divisors, whose sum is σ = 4169265918048. Its totient is φ = 219768422400.

The previous prime is 984225116159. The next prime is 984225116167. The reversal of 984225116160 is 61611522489.

984225116160 is a `hidden beast` number, since 9 + 8 + 4 + 2 + 25 + 1 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984225116167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2134978330 + ... + 2134978790.

Almost surely, 2^984225116160 is an apocalyptic number.

984225116160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984225116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084632959024).

984225116160 is an abundant number, since it is smaller than the sum of its proper divisors (3185040801888).

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

984225116160 is a wasteful number, since it uses less digits than its factorization.

984225116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 984225116160 in words is "nine hundred eighty-four billion, two hundred twenty-five million, one hundred sixteen thousand, one hundred sixty".