73538838216 has 192 divisors, whose sum is σ = 214248827520. Its totient is φ = 22727485440.

The previous prime is 73538838143. The next prime is 73538838229. The reversal of 73538838216 is 61283883537.

73538838216 is a `hidden beast` number, since 7 + 3 + 538 + 83 + 8 + 21 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17337856 + ... + 17342096.

It is an arithmetic number, because the mean of its divisors is an integer number (1115879310).

Almost surely, 2^73538838216 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 73538838216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107124413760).

73538838216 is an abundant number, since it is smaller than the sum of its proper divisors (140709989304).

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

73538838216 is a wasteful number, since it uses less digits than its factorization.

73538838216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4589 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 73538838216 in words is "seventy-three billion, five hundred thirty-eight million, eight hundred thirty-eight thousand, two hundred sixteen".