4561260007248 has 160 divisors (see below), whose sum is σ = 14979933643520. Its totient is φ = 1301730393600.

The previous prime is 4561260007223. The next prime is 4561260007253. The reversal of 4561260007248 is 8427000621654.

4561260007248 is a `hidden beast` number, since 4 + 5 + 6 + 12 + 600 + 0 + 7 + 24 + 8 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1792098 + ... + 3511998.

It is an arithmetic number, because the mean of its divisors is an integer number (93624585272).

Almost surely, 2^{4561260007248} is an apocalyptic number.

4561260007248 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 4561260007248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489966821760).

4561260007248 is an abundant number, since it is smaller than the sum of its proper divisors (10418673636272).

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

4561260007248 is a wasteful number, since it uses less digits than its factorization.

4561260007248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720802 (or 1720790 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4561260007248 in words is "four trillion, five hundred sixty-one billion, two hundred sixty million, seven thousand, two hundred forty-eight".