45603025600 has 168 divisors, whose sum is σ = 123313076208. Its totient is φ = 16461004800.

The previous prime is 45603025561. The next prime is 45603025603. The reversal of 45603025600 is 652030654.

It is not an unprimeable number, because it can be changed into a prime (45603025603) 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 23 ways as a sum of consecutive naturals, for example, 2401744 + ... + 2420656.

It is an arithmetic number, because the mean of its divisors is an integer number (734006406).

Almost surely, 2^45603025600 is an apocalyptic number.

45603025600 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 45603025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61656538104).

45603025600 is an abundant number, since it is smaller than the sum of its proper divisors (77710050608).

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

45603025600 is a wasteful number, since it uses less digits than its factorization.

45603025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19083 (or 19068 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 45603025600 in words is "forty-five billion, six hundred three million, twenty-five thousand, six hundred".