9350908116480 has 2880 divisors, whose sum is σ = 40931702203392. Its totient is φ = 2038352117760.

The previous prime is 9350908116469. The next prime is 9350908116503. The reversal of 9350908116480 is 846118090539.

9350908116480 is a `hidden beast` number, since 9 + 3 + 509 + 0 + 81 + 16 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×9350908116480³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87391664587 + ... + 87391664693.

Almost surely, 2^{9350908116480} is an apocalyptic number.

9350908116480 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 9350908116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465851101696).

9350908116480 is an abundant number, since it is smaller than the sum of its proper divisors (31580794086912).

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

9350908116480 is a wasteful number, since it uses less digits than its factorization.

9350908116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 9350908116480 in words is "nine trillion, three hundred fifty billion, nine hundred eight million, one hundred sixteen thousand, four hundred eighty".