51334148234160 has 960 divisors, whose sum is σ = 201309395624064. Its totient is φ = 11681629470720.

The previous prime is 51334148234147. The next prime is 51334148234167. The reversal of 51334148234160 is 6143284143315.

51334148234160 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 4 + 1 + 482 + 3 + 4 + 160 = 666.

51334148234160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51334148234167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6467697712 + ... + 6467705648.

Almost surely, 2^{51334148234160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51334148234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100654697812032).

51334148234160 is an abundant number, since it is smaller than the sum of its proper divisors (149975247389904).

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

51334148234160 is a wasteful number, since it uses less digits than its factorization.

51334148234160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403 (or 8372 counting only the distinct ones).

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

The spelling of 51334148234160 in words is "fifty-one trillion, three hundred thirty-four billion, one hundred forty-eight million, two hundred thirty-four thousand, one hundred sixty".