488374991939016 has 480 divisors, whose sum is σ = 1717353576865080. Its totient is φ = 128522748211200.

The previous prime is 488374991939011. The next prime is 488374991939017. The reversal of 488374991939016 is 610939199473884.

488374991939016 is a `hidden beast` number, since 4 + 8 + 8 + 37 + 499 + 1 + 9 + 3 + 90 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266676411852900 + 221698580086116 = 16330230^2 + 14889546^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (488374991939011) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 189006496 + ... + 191572976.

Almost surely, 2^{488374991939016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488374991939016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858676788432540).

488374991939016 is an abundant number, since it is smaller than the sum of its proper divisors (1228978584926064).

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

488374991939016 is a wasteful number, since it uses less digits than its factorization.

488374991939016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566987 (or 2566967 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 81.

The spelling of 488374991939016 in words is "four hundred eighty-eight trillion, three hundred seventy-four billion, nine hundred ninety-one million, nine hundred thirty-nine thousand, sixteen".