4148734464 has 400 divisors, whose sum is σ = 14640062976. Its totient is φ = 1144627200.

The previous prime is 4148734459. The next prime is 4148734487. The reversal of 4148734464 is 4644378414.

It is a happy number.

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

Its product of digits (1032192) is a multiple of the sum of its prime divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8999194 + ... + 8999654.

Almost surely, 2^4148734464 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 4148734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320031488).

4148734464 is an abundant number, since it is smaller than the sum of its proper divisors (10491328512).

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

4148734464 is an equidigital number, since it uses as much as digits as its factorization.

4148734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 504 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 4148734464 is about 64410.6704203581. The cubic root of 4148734464 is about 1606.8372079167.

The spelling of 4148734464 in words is "four billion, one hundred forty-eight million, seven hundred thirty-four thousand, four hundred sixty-four".