983484748800 has 1584 divisors, whose sum is σ = 3928039065600. Its totient is φ = 234101145600.

The previous prime is 983484748789. The next prime is 983484748801. The reversal of 983484748800 is 8847484389.

983484748800 is a `hidden beast` number, since 9 + 8 + 3 + 484 + 74 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×983484748800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983484748801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7743974337 + ... + 7743974463.

Almost surely, 2^983484748800 is an apocalyptic number.

983484748800 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 983484748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964019532800).

983484748800 is an abundant number, since it is smaller than the sum of its proper divisors (2944554316800).

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

983484748800 is a wasteful number, since it uses less digits than its factorization.

983484748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 983484748800 in words is "nine hundred eighty-three billion, four hundred eighty-four million, seven hundred forty-eight thousand, eight hundred".