4465093248 has 960 divisors, whose sum is σ = 18234564480. Its totient is φ = 1068318720.

The previous prime is 4465093223. The next prime is 4465093267. The reversal of 4465093248 is 8423905644.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95001961 + ... + 95002007.

It is an arithmetic number, because the mean of its divisors is an integer number (18994338).

Almost surely, 2^4465093248 is an apocalyptic number.

4465093248 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 4465093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117282240).

4465093248 is an abundant number, since it is smaller than the sum of its proper divisors (13769471232).

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

4465093248 is a wasteful number, since it uses less digits than its factorization.

4465093248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

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

The square root of 4465093248 is about 66821.3532338279. The cubic root of 4465093248 is about 1646.6836662417.

The spelling of 4465093248 in words is "four billion, four hundred sixty-five million, ninety-three thousand, two hundred forty-eight".