488316960000 has 540 divisors, whose sum is σ = 1816279104640. Its totient is φ = 126005760000.

The previous prime is 488316959993. The next prime is 488316960007. The reversal of 488316960000 is 69613884.

488316960000 is a `hidden beast` number, since 4 + 8 + 8 + 31 + 6 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488316959993) and next prime (488316960007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488316960007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44634531 + ... + 44645469.

Almost surely, 2^488316960000 is an apocalyptic number.

488316960000 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 488316960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908139552320).

488316960000 is an abundant number, since it is smaller than the sum of its proper divisors (1327962144640).

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

488316960000 is a wasteful number, since it uses less digits than its factorization.

488316960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11012 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 488316960000 in words is "four hundred eighty-eight billion, three hundred sixteen million, nine hundred sixty thousand".