22078545216 has 224 divisors, whose sum is σ = 74217873408. Its totient is φ = 5634938880.

The previous prime is 22078545199. The next prime is 22078545217. The reversal of 22078545216 is 61254587022.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22078545217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521251 + ... + 562013.

It is an arithmetic number, because the mean of its divisors is an integer number (331329792).

Almost surely, 2^22078545216 is an apocalyptic number.

22078545216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22078545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37108936704).

22078545216 is an abundant number, since it is smaller than the sum of its proper divisors (52139328192).

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

22078545216 is a wasteful number, since it uses less digits than its factorization.

22078545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40829 (or 40819 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 22078545216 in words is "twenty-two billion, seventy-eight million, five hundred forty-five thousand, two hundred sixteen".