51414216167677 has 32 divisors (see below), whose sum is σ = 56971187979264. Its totient is φ = 46010464204800.

The previous prime is 51414216167659. The next prime is 51414216167687. The reversal of 51414216167677 is 77676161241415.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 51414216167677 - 2³⁵ = 51379856429309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414216167687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164703498 + ... + 165015364.

It is an arithmetic number, because the mean of its divisors is an integer number (1780349624352).

Almost surely, 2^{51414216167677} is an apocalyptic number.

It is an amenable number.

51414216167677 is a deficient number, since it is larger than the sum of its proper divisors (5556971811587).

51414216167677 is a wasteful number, since it uses less digits than its factorization.

51414216167677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312849.

The product of its digits is 11854080, while the sum is 58.

The spelling of 51414216167677 in words is "fifty-one trillion, four hundred fourteen billion, two hundred sixteen million, one hundred sixty-seven thousand, six hundred seventy-seven".