45635207518208 has 192 divisors, whose sum is σ = 113834044396800. Its totient is φ = 17768989163520.

The previous prime is 45635207518207. The next prime is 45635207518259. The reversal of 45635207518208 is 80281570253654.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45635207518207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258059963 + ... + 258236741.

It is an arithmetic number, because the mean of its divisors is an integer number (592885647900).

Almost surely, 2^{45635207518208} 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 45635207518208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56917022198400).

45635207518208 is an abundant number, since it is smaller than the sum of its proper divisors (68198836878592).

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

45635207518208 is a wasteful number, since it uses less digits than its factorization.

45635207518208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178456 (or 178436 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 56.

The spelling of 45635207518208 in words is "forty-five trillion, six hundred thirty-five billion, two hundred seven million, five hundred eighteen thousand, two hundred eight".