488396683361664 has 1024 divisors, whose sum is σ = 1855645728768000. Its totient is φ = 122728205721600.

The previous prime is 488396683361623. The next prime is 488396683361683. The reversal of 488396683361664 is 466163386693884.

488396683361664 is a `hidden beast` number, since 4 + 8 + 8 + 396 + 68 + 3 + 3 + 6 + 166 + 4 = 666.

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 127 ways as a sum of consecutive naturals, for example, 38599273162 + ... + 38599285814.

It is an arithmetic number, because the mean of its divisors is an integer number (1812154032000).

Almost surely, 2^{488396683361664} is an apocalyptic number.

488396683361664 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 488396683361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927822864384000).

488396683361664 is an abundant number, since it is smaller than the sum of its proper divisors (1367249045406336).

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

488396683361664 is a wasteful number, since it uses less digits than its factorization.

488396683361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17404 (or 17386 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 81.

The spelling of 488396683361664 in words is "four hundred eighty-eight trillion, three hundred ninety-six billion, six hundred eighty-three million, three hundred sixty-one thousand, six hundred sixty-four".