488230976561328 has 1440 divisors, whose sum is σ = 1986944132579328. Its totient is φ = 108356685465600.

The previous prime is 488230976561311. The next prime is 488230976561333. The reversal of 488230976561328 is 823165679032884.

488230976561328 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 30 + 9 + 7 + 6 + 561 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1335888025 + ... + 1336253447.

It is a 1-persistent number, because it is pandigital, but 2⋅488230976561328 = 976461953122656 is not.

Almost surely, 2^{488230976561328} is an apocalyptic number.

488230976561328 is a gapful number since it is divisible by the number (48) 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 488230976561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993472066289664).

488230976561328 is an abundant number, since it is smaller than the sum of its proper divisors (1498713156018000).

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

488230976561328 is a wasteful number, since it uses less digits than its factorization.

488230976561328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365535 (or 365513 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 488230976561328 in words is "four hundred eighty-eight trillion, two hundred thirty billion, nine hundred seventy-six million, five hundred sixty-one thousand, three hundred twenty-eight".