45182008523520 has 1944 divisors, whose sum is σ = 180968327100288. Its totient is φ = 10389012480000.

The previous prime is 45182008523513. The next prime is 45182008523563. The reversal of 45182008523520 is 2532580028154.

45182008523520 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 20 + 0 + 85 + 23 + 520 = 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 (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 160790065780 + ... + 160790066060.

Almost surely, 2^{45182008523520} is an apocalyptic number.

45182008523520 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 45182008523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90484163550144).

45182008523520 is an abundant number, since it is smaller than the sum of its proper divisors (135786318576768).

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

45182008523520 is a wasteful number, since it uses less digits than its factorization.

45182008523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 45182008523520 in words is "forty-five trillion, one hundred eighty-two billion, eight million, five hundred twenty-three thousand, five hundred twenty".