484318091013120 has 5632 divisors, whose sum is σ = 2307790645493760. Its totient is φ = 94609732534272.

The previous prime is 484318091013101. The next prime is 484318091013121. The reversal of 484318091013120 is 21310190813484.

484318091013120 is a `hidden beast` number, since 4 + 8 + 4 + 318 + 0 + 9 + 10 + 1 + 312 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (484318091013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1264538096449 + ... + 1264538096831.

Almost surely, 2^{484318091013120} is an apocalyptic number.

484318091013120 is a gapful number since it is divisible by the number (40) 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 484318091013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153895322746880).

484318091013120 is an abundant number, since it is smaller than the sum of its proper divisors (1823472554480640).

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

484318091013120 is a wasteful number, since it uses less digits than its factorization.

484318091013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 503 counting only the distinct ones).

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

The spelling of 484318091013120 in words is "four hundred eighty-four trillion, three hundred eighteen billion, ninety-one million, thirteen thousand, one hundred twenty".