488141349696 has 1120 divisors, whose sum is σ = 2045497681920. Its totient is φ = 110854656000.

The previous prime is 488141349671. The next prime is 488141349713. The reversal of 488141349696 is 696943141884.

488141349696 is a `hidden beast` number, since 48 + 8 + 1 + 4 + 13 + 496 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98592021 + ... + 98596971.

It is an arithmetic number, because the mean of its divisors is an integer number (1826337216).

Almost surely, 2^488141349696 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 488141349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022748840960).

488141349696 is an abundant number, since it is smaller than the sum of its proper divisors (1557356332224).

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

488141349696 is a wasteful number, since it uses less digits than its factorization.

488141349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5006 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 488141349696 in words is "four hundred eighty-eight billion, one hundred forty-one million, three hundred forty-nine thousand, six hundred ninety-six".