22054436901504 has 320 divisors, whose sum is σ = 75028248250560. Its totient is φ = 6299724865536.

The previous prime is 22054436901503. The next prime is 22054436901517. The reversal of 22054436901504 is 40510963445022.

22054436901504 is a `hidden beast` number, since 2 + 2 + 0 + 54 + 4 + 3 + 6 + 90 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22054436901504.

It is not an unprimeable number, because it can be changed into a prime (22054436901503) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 314727079 + ... + 314797145.

It is an arithmetic number, because the mean of its divisors is an integer number (234463275783).

Almost surely, 2^{22054436901504} is an apocalyptic number.

22054436901504 is a gapful number since it is divisible by the number (24) 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 22054436901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37514124125280).

22054436901504 is an abundant number, since it is smaller than the sum of its proper divisors (52973811349056).

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

22054436901504 is an equidigital number, since it uses as much as digits as its factorization.

22054436901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74437 (or 74416 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 22054436901504 in words is "twenty-two trillion, fifty-four billion, four hundred thirty-six million, nine hundred one thousand, five hundred four".