45237723955200 has 2880 divisors, whose sum is σ = 204063546738480. Its totient is φ = 9702935101440.

The previous prime is 45237723955199. The next prime is 45237723955211. The reversal of 45237723955200 is 255932773254.

45237723955200 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 7 + 7 + 23 + 95 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 134236569432 + ... + 134236569768.

Almost surely, 2^{45237723955200} is an apocalyptic number.

45237723955200 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 45237723955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102031773369240).

45237723955200 is an abundant number, since it is smaller than the sum of its proper divisors (158825822783280).

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

45237723955200 is an equidigital number, since it uses as much as digits as its factorization.

45237723955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 45237723955200 in words is "forty-five trillion, two hundred thirty-seven billion, seven hundred twenty-three million, nine hundred fifty-five thousand, two hundred".