45313312224000 has 288 divisors, whose sum is σ = 152975533314240. Its totient is φ = 11885457408000.

The previous prime is 45313312223981. The next prime is 45313312224013. The reversal of 45313312224000 is 42221331354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987036 + ... + 9724964.

It is an arithmetic number, because the mean of its divisors is an integer number (531165046230).

Almost surely, 2^{45313312224000} is an apocalyptic number.

45313312224000 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 45313312224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76487766657120).

45313312224000 is an abundant number, since it is smaller than the sum of its proper divisors (107662221090240).

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

45313312224000 is an equidigital number, since it uses as much as digits as its factorization.

45313312224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738024 (or 7738000 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 45313312224000 its reverse (42221331354), we get a palindrome (45355533555354).

The spelling of 45313312224000 in words is "forty-five trillion, three hundred thirteen billion, three hundred twelve million, two hundred twenty-four thousand".