48266332416 has 243 divisors, whose sum is σ = 146212117779. Its totient is φ = 15311932416.

The previous prime is 48266332409. The next prime is 48266332417. The reversal of 48266332416 is 61423366284.

The square root of 48266332416 is 219696.

It is a perfect power (a square), and thus also a powerful number.

48266332416 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 633 + 2 + 4 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48266332417) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242544285 + ... + 242544483.

Almost surely, 2^48266332416 is an apocalyptic number.

48266332416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

48266332416 is the 219696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48266332416

48266332416 is an abundant number, since it is smaller than the sum of its proper divisors (97945785363).

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

48266332416 is an equidigital number, since it uses as much as digits as its factorization.

48266332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 227 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 48266332416 in words is "forty-eight billion, two hundred sixty-six million, three hundred thirty-two thousand, four hundred sixteen".