488344361213520 has 480 divisors, whose sum is σ = 1875785559897600. Its totient is φ = 111533859864576.

The previous prime is 488344361213491. The next prime is 488344361213557. The reversal of 488344361213520 is 25312163443884.

488344361213520 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 4 + 4 + 3 + 612 + 13 + 5 + 2 + 0 = 666.

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, 58463345664 + ... + 58463354016.

It is an arithmetic number, because the mean of its divisors is an integer number (3907886583120).

Almost surely, 2^{488344361213520} is an apocalyptic number.

488344361213520 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 488344361213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937892779948800).

488344361213520 is an abundant number, since it is smaller than the sum of its proper divisors (1387441198684080).

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

488344361213520 is a wasteful number, since it uses less digits than its factorization.

488344361213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16107 (or 16098 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 488344361213520 in words is "four hundred eighty-eight trillion, three hundred forty-four billion, three hundred sixty-one million, two hundred thirteen thousand, five hundred twenty".