45456056226126 has 192 divisors, whose sum is σ = 126505731381120. Its totient is φ = 11472581836800.

The previous prime is 45456056226083. The next prime is 45456056226127. The reversal of 45456056226126 is 62162265065454.

45456056226126 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 6 + 0 + 5 + 622 + 6 + 1 + 2 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45456056226127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133526 + ... + 9601926.

It is an arithmetic number, because the mean of its divisors is an integer number (658884017610).

Almost surely, 2^{45456056226126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45456056226126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63252865690560).

45456056226126 is an abundant number, since it is smaller than the sum of its proper divisors (81049675154994).

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

45456056226126 is a wasteful number, since it uses less digits than its factorization.

45456056226126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468571 (or 8468568 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 45456056226126 in words is "forty-five trillion, four hundred fifty-six billion, fifty-six million, two hundred twenty-six thousand, one hundred twenty-six".