464348207761 has 9 divisors (see below), whose sum is σ = 472127528379. Its totient is φ = 456695056200.

The previous prime is 464348207749. The next prime is 464348207773. The reversal of 464348207761 is 167702843464.

The square root of 464348207761 is 681431.

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

It is an interprime number because it is at equal distance from previous prime (464348207749) and next prime (464348207773).

It can be written as a sum of positive squares in only one way, i.e., 15099740161 + 449248467600 = 122881^2 + 670260^2 .

It is not a de Polignac number, because 464348207761 - 2²¹ = 464346110609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 464348207699 and 464348207708.

It is not an unprimeable number, because it can be changed into a prime (464348201761) 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, 41561706 + ... + 41572876.

Almost surely, 2^464348207761 is an apocalyptic number.

464348207761 is the 681431-st square number.

464348207761 is the 340716-th centered octagonal number.

It is an amenable number.

464348207761 is a deficient number, since it is larger than the sum of its proper divisors (7779320618).

464348207761 is an frugal number, since it uses more digits than its factorization.

464348207761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22464 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 464348207761 in words is "four hundred sixty-four billion, three hundred forty-eight million, two hundred seven thousand, seven hundred sixty-one".