45636480000 has 880 divisors, whose sum is σ = 179055184000. Its totient is φ = 11446272000.

The previous prime is 45636479971. The next prime is 45636480007. The reversal of 45636480000 is 8463654.

45636480000 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 648 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45636480007) 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 79 ways as a sum of consecutive naturals, for example, 328319931 + ... + 328320069.

It is an arithmetic number, because the mean of its divisors is an integer number (203471800).

Almost surely, 2^45636480000 is an apocalyptic number.

45636480000 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 45636480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89527592000).

45636480000 is an abundant number, since it is smaller than the sum of its proper divisors (133418704000).

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

45636480000 is a wasteful number, since it uses less digits than its factorization.

45636480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45636480000 in words is "forty-five billion, six hundred thirty-six million, four hundred eighty thousand".