488043698688 has 800 divisors, whose sum is σ = 1898549985024. Its totient is φ = 121127436288.

The previous prime is 488043698677. The next prime is 488043698699. The reversal of 488043698688 is 886896340884.

488043698688 is a `hidden beast` number, since 48 + 8 + 0 + 436 + 98 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (488043698677) and next prime (488043698699).

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

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 79 ways as a sum of consecutive naturals, for example, 64153381 + ... + 64160987.

Almost surely, 2^488043698688 is an apocalyptic number.

488043698688 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 488043698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949274992512).

488043698688 is an abundant number, since it is smaller than the sum of its proper divisors (1410506286336).

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

488043698688 is a wasteful number, since it uses less digits than its factorization.

488043698688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 488043698688 in words is "four hundred eighty-eight billion, forty-three million, six hundred ninety-eight thousand, six hundred eighty-eight".