4466151648 has 576 divisors, whose sum is σ = 16216381440. Its totient is φ = 1190246400.

The previous prime is 4466151601. The next prime is 4466151659. The reversal of 4466151648 is 8461516644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53809015 + ... + 53809097.

It is an arithmetic number, because the mean of its divisors is an integer number (28153440).

Almost surely, 2^4466151648 is an apocalyptic number.

4466151648 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 4466151648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108190720).

4466151648 is an abundant number, since it is smaller than the sum of its proper divisors (11750229792).

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

4466151648 is a wasteful number, since it uses less digits than its factorization.

4466151648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4466151648 is about 66829.2723886771. The cubic root of 4466151648 is about 1646.8137652270.

The spelling of 4466151648 in words is "four billion, four hundred sixty-six million, one hundred fifty-one thousand, six hundred forty-eight".