488313961344 has 320 divisors, whose sum is σ = 1619072928000. Its totient is φ = 144823956480.

The previous prime is 488313961313. The next prime is 488313961393. The reversal of 488313961344 is 443169313884.

488313961344 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 13 + 9 + 613 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5314707 + ... + 5405805.

It is an arithmetic number, because the mean of its divisors is an integer number (5059602900).

Almost surely, 2^488313961344 is an apocalyptic number.

488313961344 is a gapful number since it is divisible by the number (44) 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 488313961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809536464000).

488313961344 is an abundant number, since it is smaller than the sum of its proper divisors (1130758966656).

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

488313961344 is a wasteful number, since it uses less digits than its factorization.

488313961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91183 (or 91162 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 488313961344 in words is "four hundred eighty-eight billion, three hundred thirteen million, nine hundred sixty-one thousand, three hundred forty-four".