984748129920 has 224 divisors, whose sum is σ = 3529632266820. Its totient is φ = 262599376896.

The previous prime is 984748129919. The next prime is 984748129921. The reversal of 984748129920 is 29921847489.

984748129920 is a `hidden beast` number, since 9 + 8 + 47 + 481 + 2 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (984748129919) and next prime (984748129921).

It can be written as a sum of positive squares in 2 ways, for example, as 884066301504 + 100681828416 = 940248^2 + 317304^2 .

It is not an unprimeable number, because it can be changed into a prime (984748129921) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 588769 + ... + 1521888.

Almost surely, 2^984748129920 is an apocalyptic number.

984748129920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

984748129920 is an abundant number, since it is smaller than the sum of its proper divisors (2544884136900).

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

984748129920 is an equidigital number, since it uses as much as digits as its factorization.

984748129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110694 (or 2110667 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 984748129920 in words is "nine hundred eighty-four billion, seven hundred forty-eight million, one hundred twenty-nine thousand, nine hundred twenty".