45738639360 has 600 divisors, whose sum is σ = 168139535256. Its totient is φ = 11890851840.

The previous prime is 45738639347. The next prime is 45738639367. The reversal of 45738639360 is 6393683754.

45738639360 is a `hidden beast` number, since 4 + 573 + 8 + 6 + 3 + 9 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4161798144 + 41576841216 = 64512^2 + 203904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45738639297 and 45738639306.

It is not an unprimeable number, because it can be changed into a prime (45738639367) 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 39 ways as a sum of consecutive naturals, for example, 404766664 + ... + 404766776.

Almost surely, 2^45738639360 is an apocalyptic number.

45738639360 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 45738639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84069767628).

45738639360 is an abundant number, since it is smaller than the sum of its proper divisors (122400895896).

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

45738639360 is an equidigital number, since it uses as much as digits as its factorization.

45738639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 45738639360 in words is "forty-five billion, seven hundred thirty-eight million, six hundred thirty-nine thousand, three hundred sixty".