488116628334720 has 1536 divisors, whose sum is σ = 2159638597509120. Its totient is φ = 98633687040000.

The previous prime is 488116628334677. The next prime is 488116628334749. The reversal of 488116628334720 is 27433826611884.

488116628334720 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 1 + 6 + 6 + 283 + 347 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5655280365 + ... + 5655366675.

It is an arithmetic number, because the mean of its divisors is an integer number (1406014711920).

Almost surely, 2^{488116628334720} is an apocalyptic number.

488116628334720 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 488116628334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079819298754560).

488116628334720 is an abundant number, since it is smaller than the sum of its proper divisors (1671521969174400).

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

488116628334720 is a wasteful number, since it uses less digits than its factorization.

488116628334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86706 (or 86691 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 488116628334720 in words is "four hundred eighty-eight trillion, one hundred sixteen billion, six hundred twenty-eight million, three hundred thirty-four thousand, seven hundred twenty".