45775882833408 has 1440 divisors, whose sum is σ = 178482963859200. Its totient is φ = 11436653150208.

The previous prime is 45775882833391. The next prime is 45775882833409. The reversal of 45775882833408 is 80433828857754.

45775882833408 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 588 + 2 + 8 + 3 + 34 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45775882833409) 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 143 ways as a sum of consecutive naturals, for example, 2796490248 + ... + 2796506616.

It is an arithmetic number, because the mean of its divisors is an integer number (123946502680).

Almost surely, 2^{45775882833408} is an apocalyptic number.

45775882833408 is a gapful number since it is divisible by the number (48) 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 45775882833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89241481929600).

45775882833408 is an abundant number, since it is smaller than the sum of its proper divisors (132707081025792).

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

45775882833408 is a wasteful number, since it uses less digits than its factorization.

45775882833408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16454 (or 16413 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 45775882833408 in words is "forty-five trillion, seven hundred seventy-five billion, eight hundred eighty-two million, eight hundred thirty-three thousand, four hundred eight".