22420924416 has 360 divisors, whose sum is σ = 73677133530. Its totient is φ = 6788136960.

The previous prime is 22420924399. The next prime is 22420924417. The reversal of 22420924416 is 61442902422.

22420924416 is a `hidden beast` number, since 2 + 2 + 4 + 209 + 2 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22170018816 + 250905600 = 148896^2 + 15840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22420924417) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20071890 + ... + 20073006.

Almost surely, 2^22420924416 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 22420924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36838566765).

22420924416 is an abundant number, since it is smaller than the sum of its proper divisors (51256209114).

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

22420924416 is a wasteful number, since it uses less digits than its factorization.

22420924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22420924416 in words is "twenty-two billion, four hundred twenty million, nine hundred twenty-four thousand, four hundred sixteen".