51012016146 has 144 divisors (see below), whose sum is σ = 138639173400. Its totient is φ = 13436430336.

The previous prime is 51012016141. The next prime is 51012016147. The reversal of 51012016146 is 64161021015.

51012016146 is a `hidden beast` number, since 510 + 1 + 2 + 0 + 1 + 6 + 146 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7745936121 + 43266080025 = 88011^2 + 208005^2 .

It is not an unprimeable number, because it can be changed into a prime (51012016141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10649520 + ... + 10654308.

Almost surely, 2^51012016146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51012016146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69319586700).

51012016146 is an abundant number, since it is smaller than the sum of its proper divisors (87627157254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51012016146 is a wasteful number, since it uses less digits than its factorization.

51012016146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 51012016146 in words is "fifty-one billion, twelve million, sixteen thousand, one hundred forty-six".