45513216000 has 1248 divisors, whose sum is σ = 200930865408. Its totient is φ = 9673113600.

The previous prime is 45513215987. The next prime is 45513216011. The reversal of 45513216000 is 61231554.

45513216000 is a `hidden beast` number, since 4 + 5 + 51 + 3 + 2 + 1 + 600 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548351959 + ... + 548352041.

It is an arithmetic number, because the mean of its divisors is an integer number (161002296).

Almost surely, 2^45513216000 is an apocalyptic number.

45513216000 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 45513216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465432704).

45513216000 is an abundant number, since it is smaller than the sum of its proper divisors (155417649408).

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

45513216000 is a wasteful number, since it uses less digits than its factorization.

45513216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 45513216000 its reverse (61231554), we get a palindrome (45574447554).

The spelling of 45513216000 in words is "forty-five billion, five hundred thirteen million, two hundred sixteen thousand".