45923623200 has 2592 divisors, whose sum is σ = 233400061440. Its totient is φ = 8360755200.

The previous prime is 45923623171. The next prime is 45923623201. The reversal of 45923623200 is 232632954.

It is a happy number.

45923623200 is a `hidden beast` number, since 4 + 5 + 9 + 2 + 3 + 623 + 20 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 (45923623201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1481407185 + ... + 1481407215.

It is an arithmetic number, because the mean of its divisors is an integer number (90046320).

Almost surely, 2^45923623200 is an apocalyptic number.

45923623200 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 45923623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116700030720).

45923623200 is an abundant number, since it is smaller than the sum of its proper divisors (187476438240).

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

45923623200 is a wasteful number, since it uses less digits than its factorization.

45923623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 45923623200 in words is "forty-five billion, nine hundred twenty-three million, six hundred twenty-three thousand, two hundred".