488741897664 has 336 divisors, whose sum is σ = 1495550504448. Its totient is φ = 152070856704.

The previous prime is 488741897653. The next prime is 488741897669. The reversal of 488741897664 is 466798147884.

488741897664 is a `hidden beast` number, since 4 + 8 + 87 + 418 + 9 + 76 + 64 = 666.

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

Its product of digits (520224768) is a multiple of the sum of its prime factors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 488741897592 and 488741897601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488741897669) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1103254627 + ... + 1103255069.

It is an arithmetic number, because the mean of its divisors is an integer number (4451043168).

Almost surely, 2^488741897664 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 488741897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747775252224).

488741897664 is an abundant number, since it is smaller than the sum of its proper divisors (1006808606784).

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

488741897664 is a wasteful number, since it uses less digits than its factorization.

488741897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 488741897664 in words is "four hundred eighty-eight billion, seven hundred forty-one million, eight hundred ninety-seven thousand, six hundred sixty-four".