4601745748224 has 135 divisors (see below), whose sum is σ = 13722494333317. Its totient is φ = 1533812281344.

The previous prime is 4601745748177. The next prime is 4601745748241. The reversal of 4601745748224 is 4228475471064.

The square root of 4601745748224 is 2145168.

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

4601745748224 is a `hidden beast` number, since 4 + 60 + 1 + 7 + 4 + 574 + 8 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4290863673600 + 310882074624 = 2071440^2 + 557568^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 308896744 + ... + 308911640.

Almost surely, 2^{4601745748224} is an apocalyptic number.

4601745748224 is the 2145168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4601745748224

4601745748224 is an abundant number, since it is smaller than the sum of its proper divisors (9120748585093).

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

4601745748224 is an frugal number, since it uses more digits than its factorization.

4601745748224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29822 (or 14902 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

It can be divided in two parts, 4601745 and 748224, that added together give a square (5349969 = 2313²).

The spelling of 4601745748224 in words is "four trillion, six hundred one billion, seven hundred forty-five million, seven hundred forty-eight thousand, two hundred twenty-four".