51343684462161 has 320 divisors, whose sum is σ = 101724356321280. Its totient is φ = 25052833128960.

The previous prime is 51343684462129. The next prime is 51343684462171. The reversal of 51343684462161 is 16126448634315.

51343684462161 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 3 + 6 + 8 + 4 + 4 + 621 + 6 + 1 = 666.

It is not a de Polignac number, because 51343684462161 - 2⁵ = 51343684462129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51343684462098 and 51343684462107.

It is not an unprimeable number, because it can be changed into a prime (51343684462171) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1566151576 + ... + 1566184358.

It is an arithmetic number, because the mean of its divisors is an integer number (317888613504).

Almost surely, 2^{51343684462161} is an apocalyptic number.

It is an amenable number.

51343684462161 is a deficient number, since it is larger than the sum of its proper divisors (50380671859119).

51343684462161 is a wasteful number, since it uses less digits than its factorization.

51343684462161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33098 (or 33089 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 51343684462161 in words is "fifty-one trillion, three hundred forty-three billion, six hundred eighty-four million, four hundred sixty-two thousand, one hundred sixty-one".