464877148761 has 81 divisors (see below), whose sum is σ = 740363198263. Its totient is φ = 281018519040.

The previous prime is 464877148739. The next prime is 464877148787. The reversal of 464877148761 is 167841778464.

It is a happy number.

The square root of 464877148761 is 681819.

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

464877148761 is a `hidden beast` number, since 4 + 6 + 4 + 87 + 71 + 487 + 6 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 169871744025 + 295005404736 = 412155^2 + 543144^2 .

It is not a de Polignac number, because 464877148761 - 2⁷ = 464877148633 is a prime.

It is a super-2 number, since 2×464877148761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464877148861) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1008410071 + ... + 1008410531.

Almost surely, 2^464877148761 is an apocalyptic number.

464877148761 is the 681819-th square number.

464877148761 is the 340910-th centered octagonal number.

It is an amenable number.

464877148761 is a deficient number, since it is larger than the sum of its proper divisors (275486049502).

464877148761 is an equidigital number, since it uses as much as digits as its factorization.

464877148761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 510 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 464877148761 in words is "four hundred sixty-four billion, eight hundred seventy-seven million, one hundred forty-eight thousand, seven hundred sixty-one".