45901785600 has 1080 divisors, whose sum is σ = 187524677340. Its totient is φ = 10705305600.

The previous prime is 45901785599. The next prime is 45901785647. The reversal of 45901785600 is 658710954.

45901785600 is a `hidden beast` number, since 4 + 590 + 1 + 7 + 8 + 56 + 0 + 0 = 666.

45901785600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19283210496 + 26618575104 = 138864^2 + 163152^2 .

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 515750356 + ... + 515750444.

Almost surely, 2^45901785600 is an apocalyptic number.

45901785600 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 45901785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93762338670).

45901785600 is an abundant number, since it is smaller than the sum of its proper divisors (141622891740).

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

45901785600 is a wasteful number, since it uses less digits than its factorization.

45901785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 45901785600 in words is "forty-five billion, nine hundred one million, seven hundred eighty-five thousand, six hundred".