45123955776 has 189 divisors, whose sum is σ = 132620192341. Its totient is φ = 14669151744.

The previous prime is 45123955769. The next prime is 45123955819. The reversal of 45123955776 is 67755932154.

It is a happy number.

The square root of 45123955776 is 212424.

It is a perfect power (a square), and thus also a powerful number.

45123955776 is a `hidden beast` number, since 4 + 5 + 12 + 3 + 9 + 557 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32529729600 + 12594226176 = 180360^2 + 112224^2 .

It is a Duffinian number.

Its product of digits (7938000) is a multiple of the sum of its prime divisors (225).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 270203245 + ... + 270203411.

Almost surely, 2^45123955776 is an apocalyptic number.

45123955776 is the 212424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45123955776

45123955776 is an abundant number, since it is smaller than the sum of its proper divisors (87496236565).

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

45123955776 is an equidigital number, since it uses as much as digits as its factorization.

45123955776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 225 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 45123955776 in words is "forty-five billion, one hundred twenty-three million, nine hundred fifty-five thousand, seven hundred seventy-six".