4560734407248 has 240 divisors, whose sum is σ = 13563877856256. Its totient is φ = 1425604177920.

The previous prime is 4560734407237. The next prime is 4560734407277. The reversal of 4560734407248 is 8427044370654.

4560734407248 is a `hidden beast` number, since 4 + 5 + 60 + 73 + 440 + 72 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4560734407194 and 4560734407203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833617153 + ... + 833622623.

Almost surely, 2^{4560734407248} is an apocalyptic number.

4560734407248 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 4560734407248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781938928128).

4560734407248 is an abundant number, since it is smaller than the sum of its proper divisors (9003143449008).

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

4560734407248 is a wasteful number, since it uses less digits than its factorization.

4560734407248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 4560734407248 in words is "four trillion, five hundred sixty billion, seven hundred thirty-four million, four hundred seven thousand, two hundred forty-eight".