9048510051840 has 480 divisors, whose sum is σ = 37140800336640. Its totient is φ = 2068229873664.

The previous prime is 9048510051817. The next prime is 9048510051851. The reversal of 9048510051840 is 481500158409.

It is a happy number.

9048510051840 is a `hidden beast` number, since 9 + 0 + 4 + 8 + 510 + 0 + 51 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3315591 + ... + 5393529.

It is an arithmetic number, because the mean of its divisors is an integer number (77376667368).

Almost surely, 2^{9048510051840} is an apocalyptic number.

9048510051840 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 9048510051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570400168320).

9048510051840 is an abundant number, since it is smaller than the sum of its proper divisors (28092290284800).

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

9048510051840 is an equidigital number, since it uses as much as digits as its factorization.

9048510051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077984 (or 2077956 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 9048510051840 in words is "nine trillion, forty-eight billion, five hundred ten million, fifty-one thousand, eight hundred forty".