45245245200000 has 384 divisors, whose sum is σ = 151548562146240. Its totient is φ = 11958589440000.

The previous prime is 45245245199969. The next prime is 45245245200037. The reversal of 45245245200000 is 254254254.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135433167 + ... + 135766833.

Almost surely, 2^{45245245200000} is an apocalyptic number.

45245245200000 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 45245245200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75774281073120).

45245245200000 is an abundant number, since it is smaller than the sum of its proper divisors (106303316946240).

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

45245245200000 is an equidigital number, since it uses as much as digits as its factorization.

45245245200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333822 (or 333790 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

Adding to 45245245200000 its reverse (254254254), we get a palindrome (45245499454254).

The spelling of 45245245200000 in words is "forty-five trillion, two hundred forty-five billion, two hundred forty-five million, two hundred thousand".