20045994224256 has 5376 divisors, whose sum is σ = 90189997793280. Its totient is φ = 4345502515200.

The previous prime is 20045994224203. The next prime is 20045994224261. The reversal of 20045994224256 is 65242249954002.

20045994224256 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 599 + 4 + 2 + 2 + 42 + 5 + 6 = 666.

It is a super-2 number, since 2×20045994224256² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 466185912171 + ... + 466185912213.

It is an arithmetic number, because the mean of its divisors is an integer number (16776413280).

Almost surely, 2^{20045994224256} is an apocalyptic number.

20045994224256 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 20045994224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45094998896640).

20045994224256 is an abundant number, since it is smaller than the sum of its proper divisors (70144003569024).

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

20045994224256 is a wasteful number, since it uses less digits than its factorization.

20045994224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 20045994224256 in words is "twenty trillion, forty-five billion, nine hundred ninety-four million, two hundred twenty-four thousand, two hundred fifty-six".