488623104000 has 1120 divisors, whose sum is σ = 1877738724576. Its totient is φ = 126340300800.

The previous prime is 488623103989. The next prime is 488623104017. The reversal of 488623104000 is 401326884.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3566591932 + ... + 3566592068.

Almost surely, 2^488623104000 is an apocalyptic number.

488623104000 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 488623104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938869362288).

488623104000 is an abundant number, since it is smaller than the sum of its proper divisors (1389115620576).

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

488623104000 is an equidigital number, since it uses as much as digits as its factorization.

488623104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 488623104000 in words is "four hundred eighty-eight billion, six hundred twenty-three million, one hundred four thousand".