45221677056 has 576 divisors, whose sum is σ = 148339900800. Its totient is φ = 13576273920.

The previous prime is 45221677051. The next prime is 45221677057. The reversal of 45221677056 is 65077612254.

45221677056 is a `hidden beast` number, since 4 + 522 + 1 + 6 + 7 + 70 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (45221677051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222207470 + ... + 1222207506.

It is an arithmetic number, because the mean of its divisors is an integer number (257534550).

Almost surely, 2^45221677056 is an apocalyptic number.

45221677056 is a gapful number since it is divisible by the number (46) 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 45221677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74169950400).

45221677056 is an abundant number, since it is smaller than the sum of its proper divisors (103118223744).

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

45221677056 is a wasteful number, since it uses less digits than its factorization.

45221677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 45221677056 in words is "forty-five billion, two hundred twenty-one million, six hundred seventy-seven thousand, fifty-six".