9149004480 has 448 divisors, whose sum is σ = 36827642880. Its totient is φ = 1869004800.

The previous prime is 9149004463. The next prime is 9149004481. The reversal of 9149004480 is 844009419.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9149004481) 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 63 ways as a sum of consecutive naturals, for example, 4508106 + ... + 4510134.

It is an arithmetic number, because the mean of its divisors is an integer number (82204560).

Almost surely, 2^9149004480 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 9149004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413821440).

9149004480 is an abundant number, since it is smaller than the sum of its proper divisors (27678638400).

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

9149004480 is a wasteful number, since it uses less digits than its factorization.

9149004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 9149004480 is about 95650.4285405978. The cubic root of 9149004480 is about 2091.5003748442.

The spelling of 9149004480 in words is "nine billion, one hundred forty-nine million, four thousand, four hundred eighty".