45519575200 has 288 divisors, whose sum is σ = 124772514048. Its totient is φ = 16074240000.

The previous prime is 45519575197. The next prime is 45519575203. The reversal of 45519575200 is 257591554.

It is an interprime number because it is at equal distance from previous prime (45519575197) and next prime (45519575203).

It is not an unprimeable number, because it can be changed into a prime (45519575203) 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, 64934850 + ... + 64935550.

It is an arithmetic number, because the mean of its divisors is an integer number (433237896).

Almost surely, 2^45519575200 is an apocalyptic number.

45519575200 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 45519575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62386257024).

45519575200 is an abundant number, since it is smaller than the sum of its proper divisors (79252938848).

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

45519575200 is a wasteful number, since it uses less digits than its factorization.

45519575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

The spelling of 45519575200 in words is "forty-five billion, five hundred nineteen million, five hundred seventy-five thousand, two hundred".