45367776576 has 168 divisors, whose sum is σ = 133403745384. Its totient is φ = 14732328960.

The previous prime is 45367776569. The next prime is 45367776577. The reversal of 45367776576 is 67567776354.

It is a happy number.

45367776576 is a `hidden beast` number, since 4 + 53 + 6 + 7 + 7 + 7 + 6 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9000000 + 45358776576 = 3000^2 + 212976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45367776577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29212216 + ... + 29213768.

It is an arithmetic number, because the mean of its divisors is an integer number (794069913).

Almost surely, 2^45367776576 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 45367776576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66701872692).

45367776576 is an abundant number, since it is smaller than the sum of its proper divisors (88035968808).

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

45367776576 is a wasteful number, since it uses less digits than its factorization.

45367776576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2836 counting only the distinct ones).

The product of its digits is 155584800, while the sum is 63.

The spelling of 45367776576 in words is "forty-five billion, three hundred sixty-seven million, seven hundred seventy-six thousand, five hundred seventy-six".