2045218526208 has 2112 divisors, whose sum is σ = 7786465720320. Its totient is φ = 525533184000.

The previous prime is 2045218526207. The next prime is 2045218526303. The reversal of 2045218526208 is 8026258125402.

2045218526208 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 2 + 18 + 5 + 2 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045218526207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49883378668 + ... + 49883378708.

Almost surely, 2^{2045218526208} 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 2045218526208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893232860160).

2045218526208 is an abundant number, since it is smaller than the sum of its proper divisors (5741247194112).

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

2045218526208 is a wasteful number, since it uses less digits than its factorization.

2045218526208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2045218526208 in words is "two trillion, forty-five billion, two hundred eighteen million, five hundred twenty-six thousand, two hundred eight".