51202232042346 has 192 divisors, whose sum is σ = 139305571891200. Its totient is φ = 13204082263680.

The previous prime is 51202232042281. The next prime is 51202232042363. The reversal of 51202232042346 is 64324023220215.

51202232042346 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 223 + 2 + 0 + 423 + 4 + 6 = 666.

51202232042346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51202232042346² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51202232042346.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 128606380 + ... + 129003896.

It is an arithmetic number, because the mean of its divisors is an integer number (725549853600).

Almost surely, 2^{51202232042346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51202232042346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69652785945600).

51202232042346 is an abundant number, since it is smaller than the sum of its proper divisors (88103339848854).

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

51202232042346 is a wasteful number, since it uses less digits than its factorization.

51202232042346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398209 (or 398206 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 51202232042346 in words is "fifty-one trillion, two hundred two billion, two hundred thirty-two million, forty-two thousand, three hundred forty-six".