4532096448 has 560 divisors, whose sum is σ = 15932505600. Its totient is φ = 1259089920.

The previous prime is 4532096447. The next prime is 4532096461. The reversal of 4532096448 is 8446902354.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532096447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50922388 + ... + 50922476.

Almost surely, 2^4532096448 is an apocalyptic number.

4532096448 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 4532096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966252800).

4532096448 is an abundant number, since it is smaller than the sum of its proper divisors (11400409152).

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

4532096448 is a wasteful number, since it uses less digits than its factorization.

4532096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4532096448 is about 67320.8470534945. The cubic root of 4532096448 is about 1654.8795192854.

The spelling of 4532096448 in words is "four billion, five hundred thirty-two million, ninety-six thousand, four hundred forty-eight".