51434461640016 has 720 divisors, whose sum is σ = 184086188682240. Its totient is φ = 13113038315520.

The previous prime is 51434461639997. The next prime is 51434461640017. The reversal of 51434461640016 is 61004616443415.

51434461640016 is a `hidden beast` number, since 5 + 1 + 43 + 446 + 164 + 0 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51434461640017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5265064380 + ... + 5265074148.

Almost surely, 2^{51434461640016} is an apocalyptic number.

51434461640016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51434461640016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92043094341120).

51434461640016 is an abundant number, since it is smaller than the sum of its proper divisors (132651727042224).

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

51434461640016 is a wasteful number, since it uses less digits than its factorization.

51434461640016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 51434461640016 in words is "fifty-one trillion, four hundred thirty-four billion, four hundred sixty-one million, six hundred forty thousand, sixteen".