999480508416 has 840 divisors, whose sum is σ = 3327294607224. Its totient is φ = 298120642560.

The previous prime is 999480508391. The next prime is 999480508469. The reversal of 999480508416 is 614805084999.

999480508416 is a `hidden beast` number, since 9 + 9 + 9 + 4 + 80 + 508 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36130406400 + 963350102016 = 190080^2 + 981504^2 .

It is a super-2 number, since 2×999480508416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6366117810 + ... + 6366117966.

Almost surely, 2^999480508416 is an apocalyptic number.

999480508416 is a gapful number since it is divisible by the number (96) 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 999480508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663647303612).

999480508416 is an abundant number, since it is smaller than the sum of its proper divisors (2327814098808).

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

999480508416 is an equidigital number, since it uses as much as digits as its factorization.

999480508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 999480508416 in words is "nine hundred ninety-nine billion, four hundred eighty million, five hundred eight thousand, four hundred sixteen".