478148989248 has 448 divisors, whose sum is σ = 1647310213120. Its totient is φ = 133155477504.

The previous prime is 478148989243. The next prime is 478148989259. The reversal of 478148989248 is 842989841874.

478148989248 is a `hidden beast` number, since 47 + 8 + 1 + 489 + 89 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478148989243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428064786 + ... + 428065902.

Almost surely, 2^478148989248 is an apocalyptic number.

478148989248 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 478148989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823655106560).

478148989248 is an abundant number, since it is smaller than the sum of its proper divisors (1169161223872).

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

478148989248 is a wasteful number, since it uses less digits than its factorization.

478148989248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1995 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 478148989248 in words is "four hundred seventy-eight billion, one hundred forty-eight million, nine hundred eighty-nine thousand, two hundred forty-eight".