45415336363144 has 128 divisors (see below), whose sum is σ = 96316359598080. Its totient is φ = 19889090956800.

The previous prime is 45415336363139. The next prime is 45415336363261. The reversal of 45415336363144 is 44136363351454.

It is a junction number, because it is equal to n+sod(n) for n = 45415336363091 and 45415336363100.

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, 702697759 + ... + 702762385.

It is an arithmetic number, because the mean of its divisors is an integer number (752471559360).

Almost surely, 2^{45415336363144} is an apocalyptic number.

45415336363144 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 45415336363144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48158179799040).

45415336363144 is an abundant number, since it is smaller than the sum of its proper divisors (50901023234936).

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

45415336363144 is a wasteful number, since it uses less digits than its factorization.

45415336363144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65811 (or 65807 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 45415336363144 in words is "forty-five trillion, four hundred fifteen billion, three hundred thirty-six million, three hundred sixty-three thousand, one hundred forty-four".