488486481696 has 144 divisors (see below), whose sum is σ = 1393107265368. Its totient is φ = 162363801600.

The previous prime is 488486481677. The next prime is 488486481727. The reversal of 488486481696 is 696184684884.

488486481696 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 86 + 481 + 69 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 373589888400 + 114896593296 = 611220^2 + 338964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234735376 + ... + 234737456.

Almost surely, 2^488486481696 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 488486481696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696553632684).

488486481696 is an abundant number, since it is smaller than the sum of its proper divisors (904620783672).

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

488486481696 is a wasteful number, since it uses less digits than its factorization.

488486481696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4024 counting only the distinct ones).

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

The spelling of 488486481696 in words is "four hundred eighty-eight billion, four hundred eighty-six million, four hundred eighty-one thousand, six hundred ninety-six".