45476448600 has 384 divisors, whose sum is σ = 162134265600. Its totient is φ = 10441267200.

The previous prime is 45476448583. The next prime is 45476448601. The reversal of 45476448600 is 684467454.

It is a self number, because there is not a number n which added to its sum of digits gives 45476448600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45476448601) 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 95 ways as a sum of consecutive naturals, for example, 10141959 + ... + 10146441.

It is an arithmetic number, because the mean of its divisors is an integer number (422224650).

Almost surely, 2^45476448600 is an apocalyptic number.

45476448600 is a gapful number since it is divisible by the number (40) 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 45476448600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81067132800).

45476448600 is an abundant number, since it is smaller than the sum of its proper divisors (116657817000).

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

45476448600 is a wasteful number, since it uses less digits than its factorization.

45476448600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 45476448600 in words is "forty-five billion, four hundred seventy-six million, four hundred forty-eight thousand, six hundred".