45604439640 has 256 divisors, whose sum is σ = 154557849600. Its totient is φ = 11959142400.

The previous prime is 45604439611. The next prime is 45604439663. The reversal of 45604439640 is 4693440654.

45604439640 is a `hidden beast` number, since 4 + 5 + 604 + 4 + 39 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21602185 + ... + 21604295.

It is an arithmetic number, because the mean of its divisors is an integer number (603741600).

Almost surely, 2^45604439640 is an apocalyptic number.

45604439640 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 45604439640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77278924800).

45604439640 is an abundant number, since it is smaller than the sum of its proper divisors (108953409960).

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

45604439640 is a wasteful number, since it uses less digits than its factorization.

45604439640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 45604439640 in words is "forty-five billion, six hundred four million, four hundred thirty-nine thousand, six hundred forty".