45224106400000 has 432 divisors, whose sum is σ = 124242656086080. Its totient is φ = 16291097600000.

The previous prime is 45224106399917. The next prime is 45224106400013. The reversal of 45224106400000 is 460142254.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941575986 + ... + 941624014.

It is an arithmetic number, because the mean of its divisors is an integer number (287598740940).

Almost surely, 2^{45224106400000} is an apocalyptic number.

45224106400000 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 45224106400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62121328043040).

45224106400000 is an abundant number, since it is smaller than the sum of its proper divisors (79018549686080).

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

45224106400000 is an equidigital number, since it uses as much as digits as its factorization.

45224106400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48188 (or 48154 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 45224106400000 its reverse (460142254), we get a palindrome (45224566542254).

The spelling of 45224106400000 in words is "forty-five trillion, two hundred twenty-four billion, one hundred six million, four hundred thousand".