45318852633600 has 3168 divisors, whose sum is σ = 215535304857600. Its totient is φ = 8825843220480.

The previous prime is 45318852633589. The next prime is 45318852633611. The reversal of 45318852633600 is 633625881354.

45318852633600 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 8 + 8 + 5 + 26 + 3 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (45318852633589) and next prime (45318852633611).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18890725201 + ... + 18890727599.

Almost surely, 2^{45318852633600} is an apocalyptic number.

45318852633600 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 45318852633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107767652428800).

45318852633600 is an abundant number, since it is smaller than the sum of its proper divisors (170216452224000).

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

45318852633600 is a wasteful number, since it uses less digits than its factorization.

45318852633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45318852633600 in words is "forty-five trillion, three hundred eighteen billion, eight hundred fifty-two million, six hundred thirty-three thousand, six hundred".