9049812480 has 400 divisors, whose sum is σ = 34134400080. Its totient is φ = 2285273088.

The previous prime is 9049812451. The next prime is 9049812481. The reversal of 9049812480 is 842189409.

9049812480 is a `hidden beast` number, since 90 + 4 + 9 + 81 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9049812481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3938692 + ... + 3940988.

Almost surely, 2^9049812480 is an apocalyptic number.

9049812480 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 9049812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067200040).

9049812480 is an abundant number, since it is smaller than the sum of its proper divisors (25084587600).

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

9049812480 is a wasteful number, since it uses less digits than its factorization.

9049812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9049812480 is about 95130.5023638580. The cubic root of 9049812480 is about 2083.9143253130.

The spelling of 9049812480 in words is "nine billion, forty-nine million, eight hundred twelve thousand, four hundred eighty".