484623082944000 has 6400 divisors, whose sum is σ = 2465104451217408. Its totient is φ = 91371110400000.

The previous prime is 484623082943911. The next prime is 484623082944029. The reversal of 484623082944000 is 449280326484.

It is a happy number.

484623082944000 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 2 + 308 + 294 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 316540223235 + ... + 316540224765.

Almost surely, 2^{484623082944000} is an apocalyptic number.

484623082944000 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 484623082944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232552225608704).

484623082944000 is an abundant number, since it is smaller than the sum of its proper divisors (1980481368273408).

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

484623082944000 is a wasteful number, since it uses less digits than its factorization.

484623082944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 484623082944000 in words is "four hundred eighty-four trillion, six hundred twenty-three billion, eighty-two million, nine hundred forty-four thousand".