45523987200 has 432 divisors, whose sum is σ = 176762748960. Its totient is φ = 11424890880.

The previous prime is 45523987189. The next prime is 45523987207. The reversal of 45523987200 is 278932554.

45523987200 is a `hidden beast` number, since 4 + 5 + 52 + 398 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (45523987207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2929852 + ... + 2945348.

It is an arithmetic number, because the mean of its divisors is an integer number (409173030).

Almost surely, 2^45523987200 is an apocalyptic number.

45523987200 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 45523987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88381374480).

45523987200 is an abundant number, since it is smaller than the sum of its proper divisors (131238761760).

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

45523987200 is a wasteful number, since it uses less digits than its factorization.

45523987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15549 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45523987200 in words is "forty-five billion, five hundred twenty-three million, nine hundred eighty-seven thousand, two hundred".