22106378004480 has 2592 divisors, whose sum is σ = 102281930150400. Its totient is φ = 4391316357120.

The previous prime is 22106378004449. The next prime is 22106378004517. The reversal of 22106378004480 is 8440087360122.

It is a happy number.

22106378004480 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 637 + 8 + 0 + 0 + 4 + 4 + 8 + 0 = 666.

22106378004480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12567581841 + ... + 12567583599.

It is an arithmetic number, because the mean of its divisors is an integer number (39460621200).

Almost surely, 2^{22106378004480} is an apocalyptic number.

22106378004480 is a gapful number since it is divisible by the number (20) 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 22106378004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51140965075200).

22106378004480 is an abundant number, since it is smaller than the sum of its proper divisors (80175552145920).

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

22106378004480 is a wasteful number, since it uses less digits than its factorization.

22106378004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 22106378004480 in words is "twenty-two trillion, one hundred six billion, three hundred seventy-eight million, four thousand, four hundred eighty".