45223579791360 has 1664 divisors, whose sum is σ = 172227965829120. Its totient is φ = 11236854988800.

The previous prime is 45223579791343. The next prime is 45223579791367. The reversal of 45223579791360 is 6319797532254.

45223579791360 is a `hidden beast` number, since 4 + 5 + 2 + 23 + 579 + 7 + 9 + 1 + 36 + 0 = 666.

It is a super-2 number, since 2×45223579791360² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45223579791367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71669698245 + ... + 71669698875.

Almost surely, 2^{45223579791360} is an apocalyptic number.

45223579791360 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 45223579791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86113982914560).

45223579791360 is an abundant number, since it is smaller than the sum of its proper divisors (127004386037760).

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

45223579791360 is a wasteful number, since it uses less digits than its factorization.

45223579791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 45223579791360 in words is "forty-five trillion, two hundred twenty-three billion, five hundred seventy-nine million, seven hundred ninety-one thousand, three hundred sixty".