4748263260601 has 9 divisors (see below), whose sum is σ = 5523507659151. Its totient is φ = 4069926863352.

The previous prime is 4748263260593. The next prime is 4748263260617. The reversal of 4748263260601 is 1060623628474.

The square root of 4748263260601 is 2179051.

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

It can be written as a sum of positive squares in only one way, i.e., 2675596275625 + 2072666984976 = 1635725^2 + 1439676^2 .

It is not a de Polignac number, because 4748263260601 - 2³ = 4748263260593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4748263260661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15097711 + ... + 15409003.

It is an arithmetic number, because the mean of its divisors is an integer number (613723073239).

Almost surely, 2^{4748263260601} is an apocalyptic number.

4748263260601 is the 2179051-st square number.

4748263260601 is the 1089526-th centered octagonal number.

It is an amenable number.

4748263260601 is a deficient number, since it is larger than the sum of its proper divisors (775244398550).

4748263260601 is an frugal number, since it uses more digits than its factorization.

4748263260601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622600 (or 311300 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

Multiplying 4748263260601 by its sum of digits (49), we get a square (232664899769449 = 15253357²).

4748263260601 divided by its sum of digits (49) gives a square (96903331849 = 311293²).

The spelling of 4748263260601 in words is "four trillion, seven hundred forty-eight billion, two hundred sixty-three million, two hundred sixty thousand, six hundred one".