45576272196 has 729 divisors, whose sum is σ = 161150198391. Its totient is φ = 10821178368.

The previous prime is 45576272177. The next prime is 45576272221. The reversal of 45576272196 is 69127267554.

It is a happy number.

The square root of 45576272196 is 213486.

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

45576272196 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 627 + 2 + 1 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411521796 + 45164750400 = 20286^2 + 212520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1981577041 + ... + 1981577063.

Almost surely, 2^45576272196 is an apocalyptic number.

45576272196 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45576272196 is the 213486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45576272196

45576272196 is an abundant number, since it is smaller than the sum of its proper divisors (115573926195).

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

45576272196 is a wasteful number, since it uses less digits than its factorization.

45576272196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 45576272196 in words is "forty-five billion, five hundred seventy-six million, two hundred seventy-two thousand, one hundred ninety-six".