45123753600 has 288 divisors, whose sum is σ = 169488259200. Its totient is φ = 11399546880.

The previous prime is 45123753557. The next prime is 45123753601. The reversal of 45123753600 is 635732154.

45123753600 is a `hidden beast` number, since 4 + 5 + 12 + 37 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (45123753601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505969 + ... + 588431.

It is an arithmetic number, because the mean of its divisors is an integer number (588500900).

Almost surely, 2^45123753600 is an apocalyptic number.

45123753600 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 45123753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84744129600).

45123753600 is an abundant number, since it is smaller than the sum of its proper divisors (124364505600).

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

45123753600 is a wasteful number, since it uses less digits than its factorization.

45123753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82512 (or 82492 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 45123753600 in words is "forty-five billion, one hundred twenty-three million, seven hundred fifty-three thousand, six hundred".