9002148480 has 384 divisors, whose sum is σ = 34938933120. Its totient is φ = 2119163904.

The previous prime is 9002148479. The next prime is 9002148509. The reversal of 9002148480 is 848412009.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719627 + ... + 1724853.

It is an arithmetic number, because the mean of its divisors is an integer number (90986805).

Almost surely, 2^9002148480 is an apocalyptic number.

9002148480 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 9002148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469466560).

9002148480 is an abundant number, since it is smaller than the sum of its proper divisors (25936784640).

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

9002148480 is a wasteful number, since it uses less digits than its factorization.

9002148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9002148480 is about 94879.6526131920. The cubic root of 9002148480 is about 2080.2493290861.

The spelling of 9002148480 in words is "nine billion, two million, one hundred forty-eight thousand, four hundred eighty".