45345792579360 has 1536 divisors, whose sum is σ = 187763164839936. Its totient is φ = 8942469120000.

The previous prime is 45345792579343. The next prime is 45345792579389. The reversal of 45345792579360 is 6397529754354.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5607241237 + ... + 5607249323.

It is an arithmetic number, because the mean of its divisors is an integer number (122241643776).

Almost surely, 2^{45345792579360} is an apocalyptic number.

45345792579360 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 45345792579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93881582419968).

45345792579360 is an abundant number, since it is smaller than the sum of its proper divisors (142417372260576).

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

45345792579360 is a wasteful number, since it uses less digits than its factorization.

45345792579360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 69.

The spelling of 45345792579360 in words is "forty-five trillion, three hundred forty-five billion, seven hundred ninety-two million, five hundred seventy-nine thousand, three hundred sixty".