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460661856481 is a prime number
BaseRepresentation
bin1101011010000011001…
…01100001100011100001
31122001001022112222011001
412231001211201203201
530021413413401411
6551343010152001
745165426113311
oct6550145414341
91561038488131
10460661856481
11168402676a92
1275342882601
1334595241088
1418420901441
15beb22d6dc1
hex6b419618e1

460661856481 has 2 divisors, whose sum is σ = 460661856482. Its totient is φ = 460661856480.

The previous prime is 460661856463. The next prime is 460661856491. The reversal of 460661856481 is 184658166064.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 460660838400 + 1018081 = 678720^2 + 1009^2 .

It is a cyclic number.

It is not a de Polignac number, because 460661856481 - 25 = 460661856449 is a prime.

It is a super-2 number, since 2×4606618564812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (460661856491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230330928240 + 230330928241.

It is an arithmetic number, because the mean of its divisors is an integer number (230330928241).

Almost surely, 2460661856481 is an apocalyptic number.

It is an amenable number.

460661856481 is a deficient number, since it is larger than the sum of its proper divisors (1).

460661856481 is an equidigital number, since it uses as much as digits as its factorization.

460661856481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 460661856481 in words is "four hundred sixty billion, six hundred sixty-one million, eight hundred fifty-six thousand, four hundred eighty-one".