478699874887248 has 800 divisors, whose sum is σ = 1709693172633600. Its totient is φ = 126346405312512.

The previous prime is 478699874887231. The next prime is 478699874887301. The reversal of 478699874887248 is 842788478996874.

478699874887248 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 9 + 9 + 8 + 7 + 488 + 72 + 48 = 666.

It is a Smith number, since the sum of its digits (99) coincides with the sum of the digits of its prime factors.

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, 798226773 + ... + 798826251.

It is an arithmetic number, because the mean of its divisors is an integer number (2137116465792).

Almost surely, 2^{478699874887248} is an apocalyptic number.

478699874887248 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 478699874887248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854846586316800).

478699874887248 is an abundant number, since it is smaller than the sum of its proper divisors (1230993297746352).

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

478699874887248 is a wasteful number, since it uses less digits than its factorization.

478699874887248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599661 (or 599646 counting only the distinct ones).

The product of its digits is 699182088192, while the sum is 99.

The spelling of 478699874887248 in words is "four hundred seventy-eight trillion, six hundred ninety-nine billion, eight hundred seventy-four million, eight hundred eighty-seven thousand, two hundred forty-eight".