45775886208 has 192 divisors, whose sum is σ = 132328500480. Its totient is φ = 14013941760.

The previous prime is 45775886131. The next prime is 45775886243. The reversal of 45775886208 is 80268857754.

45775886208 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 213953²-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13691385 + ... + 13694727.

It is an arithmetic number, because the mean of its divisors is an integer number (689210940).

Almost surely, 2^45775886208 is an apocalyptic number.

45775886208 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 45775886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66164250240).

45775886208 is an abundant number, since it is smaller than the sum of its proper divisors (86552614272).

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

45775886208 is a wasteful number, since it uses less digits than its factorization.

45775886208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 60.

The spelling of 45775886208 in words is "forty-five billion, seven hundred seventy-five million, eight hundred eighty-six thousand, two hundred eight".