45105130215360 has 336 divisors, whose sum is σ = 157355366418432. Its totient is φ = 11856560486400.

The previous prime is 45105130215293. The next prime is 45105130215371. The reversal of 45105130215360 is 6351203150154.

45105130215360 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 51 + 30 + 215 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1436865265 + ... + 1436896655.

It is an arithmetic number, because the mean of its divisors is an integer number (468319542912).

Almost surely, 2^{45105130215360} is an apocalyptic number.

45105130215360 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 45105130215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78677683209216).

45105130215360 is an abundant number, since it is smaller than the sum of its proper divisors (112250236203072).

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

45105130215360 is a wasteful number, since it uses less digits than its factorization.

45105130215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38512 (or 38499 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 45105130215360 in words is "forty-five trillion, one hundred five billion, one hundred thirty million, two hundred fifteen thousand, three hundred sixty".