312634460061 has 24 divisors (see below), whose sum is σ = 563012708544. Its totient is φ = 162407511360.

The previous prime is 312634460051. The next prime is 312634460119. The reversal of 312634460061 is 160064436213.

312634460061 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 3 + 44 + 600 + 6 + 1 = 666.

It is not a de Polignac number, because 312634460061 - 2⁵ = 312634460029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312634459998 and 312634460025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312634460051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225565296 + ... + 225566681.

It is an arithmetic number, because the mean of its divisors is an integer number (23458862856).

Almost surely, 2^312634460061 is an apocalyptic number.

It is an amenable number.

312634460061 is a deficient number, since it is larger than the sum of its proper divisors (250378248483).

312634460061 is a wasteful number, since it uses less digits than its factorization.

312634460061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451132001 (or 451131998 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 312634460061 its reverse (160064436213), we get a palindrome (472698896274).

The spelling of 312634460061 in words is "three hundred twelve billion, six hundred thirty-four million, four hundred sixty thousand, sixty-one".