479104181248 has 792 divisors, whose sum is σ = 1322904635136. Its totient is φ = 172355420160.

The previous prime is 479104181221. The next prime is 479104181329. The reversal of 479104181248 is 842181401974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 71 ways as a sum of consecutive naturals, for example, 6563070940 + ... + 6563071012.

Almost surely, 2^479104181248 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 479104181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661452317568).

479104181248 is an abundant number, since it is smaller than the sum of its proper divisors (843800453888).

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

479104181248 is a wasteful number, since it uses less digits than its factorization.

479104181248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 479104181248 in words is "four hundred seventy-nine billion, one hundred four million, one hundred eighty-one thousand, two hundred forty-eight".