74221289048064 has 192 divisors, whose sum is σ = 198433641369600. Its totient is φ = 24670680989696.

The previous prime is 74221289048063. The next prime is 74221289048077. The reversal of 74221289048064 is 46084098212247.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 74221289047995 and 74221289048013.

It is not an unprimeable number, because it can be changed into a prime (74221289048063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3965014897 + ... + 3965033615.

It is an arithmetic number, because the mean of its divisors is an integer number (1033508548800).

Almost surely, 2^{74221289048064} 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 74221289048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99216820684800).

74221289048064 is an abundant number, since it is smaller than the sum of its proper divisors (124212352321536).

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

74221289048064 is a wasteful number, since it uses less digits than its factorization.

74221289048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20530 (or 20510 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 74221289048064 in words is "seventy-four trillion, two hundred twenty-one billion, two hundred eighty-nine million, forty-eight thousand, sixty-four".