50842005208164 has 135 divisors (see below), whose sum is σ = 140281265689257. Its totient is φ = 16054599987072.

The previous prime is 50842005208157. The next prime is 50842005208177. The reversal of 50842005208164 is 46180250024805.

The square root of 50842005208164 is 7130358.

It is a perfect power (a square), and thus also a powerful number.

50842005208164 is a `hidden beast` number, since 5 + 0 + 8 + 42 + 0 + 0 + 520 + 81 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47015130270564 + 3826874937600 = 6856758^2 + 1956240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2438572012 + ... + 2438592860.

Almost surely, 2^{50842005208164} is an apocalyptic number.

50842005208164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

50842005208164 is the 7130358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50842005208164

50842005208164 is an abundant number, since it is smaller than the sum of its proper divisors (89439260481093).

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

50842005208164 is an frugal number, since it uses more digits than its factorization.

50842005208164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41752 (or 20873 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 50842005208164 in words is "fifty trillion, eight hundred forty-two billion, five million, two hundred eight thousand, one hundred sixty-four".