45782822582784 has 1440 divisors, whose sum is σ = 171236455790400. Its totient is φ = 11683670261760.

The previous prime is 45782822582779. The next prime is 45782822582881. The reversal of 45782822582784 is 48728522828754.

45782822582784 is a `hidden beast` number, since 4 + 5 + 78 + 282 + 2 + 5 + 8 + 278 + 4 = 666.

It is a super-2 number, since 2×45782822582784² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6567608419 + ... + 6567615389.

It is an arithmetic number, because the mean of its divisors is an integer number (118914205410).

Almost surely, 2^{45782822582784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45782822582784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85618227895200).

45782822582784 is an abundant number, since it is smaller than the sum of its proper divisors (125453633207616).

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

45782822582784 is a wasteful number, since it uses less digits than its factorization.

45782822582784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114 (or 7088 counting only the distinct ones).

The product of its digits is 1284505600, while the sum is 72.

The spelling of 45782822582784 in words is "forty-five trillion, seven hundred eighty-two billion, eight hundred twenty-two million, five hundred eighty-two thousand, seven hundred eighty-four".