6133484448 has 432 divisors, whose sum is σ = 22221108000. Its totient is φ = 1590285312.

The previous prime is 6133484437. The next prime is 6133484453. The reversal of 6133484448 is 8444843316.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12291303 + ... + 12291801.

It is an arithmetic number, because the mean of its divisors is an integer number (51437750).

Almost surely, 2^6133484448 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 6133484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110554000).

6133484448 is an abundant number, since it is smaller than the sum of its proper divisors (16087623552).

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

6133484448 is a wasteful number, since it uses less digits than its factorization.

6133484448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 591 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 6133484448 is about 78316.5656039640. The cubic root of 6133484448 is about 1830.4972866944.

It can be divided in two parts, 613348 and 4448, that added together give a square (617796 = 786²).

The spelling of 6133484448 in words is "six billion, one hundred thirty-three million, four hundred eighty-four thousand, four hundred forty-eight".