50184701540064 has 960 divisors, whose sum is σ = 194453972697600. Its totient is φ = 12326330068992.

The previous prime is 50184701540033. The next prime is 50184701540081. The reversal of 50184701540064 is 46004510748105.

50184701540064 is a `hidden beast` number, since 5 + 0 + 1 + 8 + 47 + 0 + 1 + 540 + 0 + 64 = 666.

50184701540064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 264317614 + ... + 264507410.

It is an arithmetic number, because the mean of its divisors is an integer number (202556221560).

Almost surely, 2^{50184701540064} is an apocalyptic number.

50184701540064 is a gapful number since it is divisible by the number (54) 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 50184701540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97226986348800).

50184701540064 is an abundant number, since it is smaller than the sum of its proper divisors (144269271157536).

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

50184701540064 is a wasteful number, since it uses less digits than its factorization.

50184701540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189917 (or 189900 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 50184701540064 in words is "fifty trillion, one hundred eighty-four billion, seven hundred one million, five hundred forty thousand, sixty-four".