22405977216 has 512 divisors, whose sum is σ = 79168320000. Its totient is φ = 6103351296.

The previous prime is 22405977197. The next prime is 22405977227. The reversal of 22405977216 is 61277950422.

22405977216 is a `hidden beast` number, since 2 + 2 + 40 + 597 + 7 + 2 + 16 = 666.

It is a super-2 number, since 2×22405977216² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76470766 + ... + 76471058.

It is an arithmetic number, because the mean of its divisors is an integer number (154625625).

Almost surely, 2^22405977216 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 22405977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584160000).

22405977216 is an abundant number, since it is smaller than the sum of its proper divisors (56762342784).

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

22405977216 is a wasteful number, since it uses less digits than its factorization.

22405977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 22405977216 in words is "twenty-two billion, four hundred five million, nine hundred seventy-seven thousand, two hundred sixteen".