45603745920 has 192 divisors, whose sum is σ = 157888013400. Its totient is φ = 12129140736.

The previous prime is 45603745819. The next prime is 45603746003. The reversal of 45603745920 is 2954730654.

45603745920 is a `hidden beast` number, since 4 + 56 + 0 + 3 + 7 + 4 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28135365696 + 17468380224 = 167736^2 + 132168^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2230464 + ... + 2250816.

Almost surely, 2^45603745920 is an apocalyptic number.

45603745920 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 45603745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78944006700).

45603745920 is an abundant number, since it is smaller than the sum of its proper divisors (112284267480).

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

45603745920 is a wasteful number, since it uses less digits than its factorization.

45603745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20767 (or 20752 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 45603745920 in words is "forty-five billion, six hundred three million, seven hundred forty-five thousand, nine hundred twenty".