4768235609641 has 27 divisors (see below), whose sum is σ = 5701362388407. Its totient is φ = 3976126373520.

The previous prime is 4768235609639. The next prime is 4768235609671. The reversal of 4768235609641 is 1469065328674.

The square root of 4768235609641 is 2183629.

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., 4266682704025 + 501552905616 = 2065595^2 + 708204^2 .

It is not a de Polignac number, because 4768235609641 - 2¹ = 4768235609639 is a prime.

It is a super-4 number, since 4×4768235609641⁴ (a number of 52 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4768235609641.

It is not an unprimeable number, because it can be changed into a prime (4768235609611) 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, 565555696 + ... + 565564126.

It is an arithmetic number, because the mean of its divisors is an integer number (211161569941).

It is a 1-persistent number, because it is pandigital, but 2⋅4768235609641 = 9536471219282 is not.

Almost surely, 2^{4768235609641} is an apocalyptic number.

4768235609641 is the 2183629-th square number.

4768235609641 is the 1091815-th centered octagonal number.

It is an amenable number.

4768235609641 is a deficient number, since it is larger than the sum of its proper divisors (933126778766).

4768235609641 is an frugal number, since it uses more digits than its factorization.

4768235609641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16950 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 4768235609641 in words is "four trillion, seven hundred sixty-eight billion, two hundred thirty-five million, six hundred nine thousand, six hundred forty-one".