22261182327216 has 240 divisors, whose sum is σ = 71322823936000. Its totient is φ = 6349415910912.

The previous prime is 22261182327199. The next prime is 22261182327221. The reversal of 22261182327216 is 61272328116222.

22261182327216 is a `hidden beast` number, since 2 + 2 + 2 + 611 + 8 + 2 + 3 + 2 + 7 + 21 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1507487865 + ... + 1507502631.

Almost surely, 2^{22261182327216} 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 22261182327216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661411968000).

22261182327216 is an abundant number, since it is smaller than the sum of its proper divisors (49061641608784).

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

22261182327216 is a wasteful number, since it uses less digits than its factorization.

22261182327216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17256 (or 17247 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 22261182327216 in words is "twenty-two trillion, two hundred sixty-one billion, one hundred eighty-two million, three hundred twenty-seven thousand, two hundred sixteen".