9233563416480 has 864 divisors, whose sum is σ = 37246280984640. Its totient is φ = 2153222922240.

The previous prime is 9233563416403. The next prime is 9233563416523. The reversal of 9233563416480 is 846143653329.

9233563416480 is a `hidden beast` number, since 9 + 2 + 33 + 563 + 4 + 1 + 6 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124806700 + ... + 124880660.

It is an arithmetic number, because the mean of its divisors is an integer number (43109121510).

Almost surely, 2^{9233563416480} is an apocalyptic number.

9233563416480 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 9233563416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623140492320).

9233563416480 is an abundant number, since it is smaller than the sum of its proper divisors (28012717568160).

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

9233563416480 is a wasteful number, since it uses less digits than its factorization.

9233563416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74036 (or 74003 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 9233563416480 in words is "nine trillion, two hundred thirty-three billion, five hundred sixty-three million, four hundred sixteen thousand, four hundred eighty".