9180948480 has 384 divisors, whose sum is σ = 32479574400. Its totient is φ = 2195456000.

The previous prime is 9180948461. The next prime is 9180948487. The reversal of 9180948480 is 848490819.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9180948487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34129786 + ... + 34130054.

It is an arithmetic number, because the mean of its divisors is an integer number (84582225).

Almost surely, 2^9180948480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9180948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239787200).

9180948480 is an abundant number, since it is smaller than the sum of its proper divisors (23298625920).

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

9180948480 is a wasteful number, since it uses less digits than its factorization.

9180948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 9180948480 is about 95817.2660849807. The cubic root of 9180948480 is about 2093.9317242968.

The spelling of 9180948480 in words is "nine billion, one hundred eighty million, nine hundred forty-eight thousand, four hundred eighty".