488283734016 has 576 divisors, whose sum is σ = 1558454018940. Its totient is φ = 147220070400.

The previous prime is 488283733933. The next prime is 488283734023. The reversal of 488283734016 is 610437382884.

488283734016 is a `hidden beast` number, since 4 + 8 + 8 + 283 + 7 + 340 + 16 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 184638652416 + 303645081600 = 429696^2 + 551040^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4834492366 + ... + 4834492466.

Almost surely, 2^488283734016 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 488283734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779227009470).

488283734016 is an abundant number, since it is smaller than the sum of its proper divisors (1070170284924).

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

488283734016 is a wasteful number, since it uses less digits than its factorization.

488283734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 488283734016 in words is "four hundred eighty-eight billion, two hundred eighty-three million, seven hundred thirty-four thousand, sixteen".