488454478848 has 1056 divisors, whose sum is σ = 1752494016000. Its totient is φ = 135778664448.

The previous prime is 488454478829. The next prime is 488454478891. The reversal of 488454478848 is 848874454884.

488454478848 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 544 + 78 + 8 + 4 + 8 = 666.

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

It is a congruent number.

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, 5035613136 + ... + 5035613232.

Almost surely, 2^488454478848 is an apocalyptic number.

488454478848 is a gapful number since it is divisible by the number (48) 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 488454478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876247008000).

488454478848 is an abundant number, since it is smaller than the sum of its proper divisors (1264039537152).

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

488454478848 is an frugal number, since it uses more digits than its factorization.

488454478848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 168 counting only the distinct ones).

The product of its digits is 1174405120, while the sum is 72.

The spelling of 488454478848 in words is "four hundred eighty-eight billion, four hundred fifty-four million, four hundred seventy-eight thousand, eight hundred forty-eight".