45566449152 has 320 divisors, whose sum is σ = 144176676864. Its totient is φ = 12517908480.

The previous prime is 45566449141. The next prime is 45566449153. The reversal of 45566449152 is 25194466554.

It is a junction number, because it is equal to n+sod(n) for n = 45566449095 and 45566449104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45566449153) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30975777 + ... + 30977247.

Almost surely, 2^45566449152 is an apocalyptic number.

45566449152 is a gapful number since it is divisible by the number (42) 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 45566449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72088338432).

45566449152 is an abundant number, since it is smaller than the sum of its proper divisors (98610227712).

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

45566449152 is a wasteful number, since it uses less digits than its factorization.

45566449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1593 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 45566449152 in words is "forty-five billion, five hundred sixty-six million, four hundred forty-nine thousand, one hundred fifty-two".