2221738396416 has 864 divisors, whose sum is σ = 8217936470016. Its totient is φ = 560480256000.

The previous prime is 2221738396373. The next prime is 2221738396433. The reversal of 2221738396416 is 6146938371222.

2221738396416 is a `hidden beast` number, since 2 + 2 + 217 + 3 + 8 + 3 + 9 + 6 + 416 = 666.

It is a super-2 number, since 2×2221738396416² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2043917025 + ... + 2043918111.

It is an arithmetic number, because the mean of its divisors is an integer number (9511500544).

Almost surely, 2^{2221738396416} 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 2221738396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108968235008).

2221738396416 is an abundant number, since it is smaller than the sum of its proper divisors (5996198073600).

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

2221738396416 is a wasteful number, since it uses less digits than its factorization.

2221738396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1432 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 2221738396416 in words is "two trillion, two hundred twenty-one billion, seven hundred thirty-eight million, three hundred ninety-six thousand, four hundred sixteen".