4791944448 has 198 divisors, whose sum is σ = 14392935354. Its totient is φ = 1592275968.

The previous prime is 4791944431. The next prime is 4791944459. The reversal of 4791944448 is 8444491974.

It is a happy number.

4791944448 is a `hidden beast` number, since 4 + 7 + 9 + 194 + 4 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2962842624 + 1829101824 = 54432^2 + 42768^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4791944394 and 4791944403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 15116386 + ... + 15116702.

Almost surely, 2^4791944448 is an apocalyptic number.

4791944448 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 4791944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196467677).

4791944448 is an abundant number, since it is smaller than the sum of its proper divisors (9600990906).

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

4791944448 is an frugal number, since it uses more digits than its factorization.

4791944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 322 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4791944448 is about 69223.8719518058. The cubic root of 4791944448 is about 1685.9211472601.

The spelling of 4791944448 in words is "four billion, seven hundred ninety-one million, nine hundred forty-four thousand, four hundred forty-eight".