74205050217216 has 144 divisors (see below), whose sum is σ = 198506153798400. Its totient is φ = 24608231239680.

The previous prime is 74205050217211. The next prime is 74205050217247. The reversal of 74205050217216 is 61271205050247.

It is not an unprimeable number, because it can be changed into a prime (74205050217211) 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, 2097295846 + ... + 2097331226.

Almost surely, 2^{74205050217216} 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 74205050217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99253076899200).

74205050217216 is an abundant number, since it is smaller than the sum of its proper divisors (124301103581184).

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

74205050217216 is a wasteful number, since it uses less digits than its factorization.

74205050217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49322 (or 49308 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 74205050217216 in words is "seventy-four trillion, two hundred five billion, fifty million, two hundred seventeen thousand, two hundred sixteen".