45636166503648 has 1152 divisors, whose sum is σ = 166682779361280. Its totient is φ = 11989838039040.

The previous prime is 45636166503647. The next prime is 45636166503701. The reversal of 45636166503648 is 84630566163654.

45636166503648 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 6 + 1 + 66 + 503 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45636166503647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19247643903 + ... + 19247646273.

It is an arithmetic number, because the mean of its divisors is an integer number (144689912640).

Almost surely, 2^{45636166503648} is an apocalyptic number.

45636166503648 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 45636166503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83341389680640).

45636166503648 is an abundant number, since it is smaller than the sum of its proper divisors (121046612857632).

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

45636166503648 is a wasteful number, since it uses less digits than its factorization.

45636166503648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 45636166503648 in words is "forty-five trillion, six hundred thirty-six billion, one hundred sixty-six million, five hundred three thousand, six hundred forty-eight".