488614979970 has 256 divisors, whose sum is σ = 1446577574400. Its totient is φ = 116612628480.

The previous prime is 488614979939. The next prime is 488614979981. The reversal of 488614979970 is 79979416884.

488614979970 is a `hidden beast` number, since 4 + 8 + 8 + 61 + 497 + 9 + 9 + 70 = 666.

It is a super-3 number, since 3×488614979970³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15101410 + ... + 15133730.

It is an arithmetic number, because the mean of its divisors is an integer number (5650693650).

Almost surely, 2^488614979970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488614979970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723288787200).

488614979970 is an abundant number, since it is smaller than the sum of its proper divisors (957962594430).

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

488614979970 is a wasteful number, since it uses less digits than its factorization.

488614979970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32482 (or 32476 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 488614979970 in words is "four hundred eighty-eight billion, six hundred fourteen million, nine hundred seventy-nine thousand, nine hundred seventy".