45312235310144 has 224 divisors, whose sum is σ = 99455943197952. Its totient is φ = 20312248320000.

The previous prime is 45312235310123. The next prime is 45312235310159. The reversal of 45312235310144 is 44101353221354.

It is a junction number, because it is equal to n+sod(n) for n = 45312235310098 and 45312235310107.

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 31 ways as a sum of consecutive naturals, for example, 10910721572 + ... + 10910725724.

Almost surely, 2^{45312235310144} is an apocalyptic number.

45312235310144 is a gapful number since it is divisible by the number (44) 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 45312235310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49727971598976).

45312235310144 is an abundant number, since it is smaller than the sum of its proper divisors (54143707887808).

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

45312235310144 is a wasteful number, since it uses less digits than its factorization.

45312235310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 45312235310144 its reverse (44101353221354), we get a palindrome (89413588531498).

The spelling of 45312235310144 in words is "forty-five trillion, three hundred twelve billion, two hundred thirty-five million, three hundred ten thousand, one hundred forty-four".