460451734101 has 12 divisors (see below), whose sum is σ = 669333237612. Its totient is φ = 305012612736.

The previous prime is 460451734081. The next prime is 460451734121. The reversal of 460451734101 is 101437154064.

460451734101 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 517 + 34 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (460451734081) and next prime (460451734121).

It can be written as a sum of positive squares in 2 ways, for example, as 258175772100 + 202275962001 = 508110^2 + 449751^2 .

It is not a de Polignac number, because 460451734101 - 2⁶ = 460451734037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460451734121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162932676 + ... + 162935501.

It is an arithmetic number, because the mean of its divisors is an integer number (55777769801).

Almost surely, 2^460451734101 is an apocalyptic number.

It is an amenable number.

460451734101 is a deficient number, since it is larger than the sum of its proper divisors (208881503511).

460451734101 is a wasteful number, since it uses less digits than its factorization.

460451734101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325868340 (or 325868337 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 460451734101 its reverse (101437154064), we get a palindrome (561888888165).

The spelling of 460451734101 in words is "four hundred sixty billion, four hundred fifty-one million, seven hundred thirty-four thousand, one hundred one".