488148088896 has 672 divisors, whose sum is σ = 1646767100160. Its totient is φ = 142244315136.

The previous prime is 488148088877. The next prime is 488148088927. The reversal of 488148088896 is 698880841884.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525454960 + ... + 525455888.

It is an arithmetic number, because the mean of its divisors is an integer number (2450546280).

Almost surely, 2^488148088896 is an apocalyptic number.

488148088896 is a gapful number since it is divisible by the number (46) 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 488148088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823383550080).

488148088896 is an abundant number, since it is smaller than the sum of its proper divisors (1158619011264).

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

488148088896 is a wasteful number, since it uses less digits than its factorization.

488148088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 72.

The spelling of 488148088896 in words is "four hundred eighty-eight billion, one hundred forty-eight million, eighty-eight thousand, eight hundred ninety-six".