18182621480400 has 840 divisors, whose sum is σ = 72966429250680. Its totient is φ = 4321360834560.

The previous prime is 18182621480363. The next prime is 18182621480453. The reversal of 18182621480400 is 408412628181.

18182621480400 is a `hidden beast` number, since 1 + 8 + 1 + 8 + 26 + 214 + 8 + 0 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14260653163584 + 3921968316816 = 3776328^2 + 1980396^2 .

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 167 ways as a sum of consecutive naturals, for example, 109850502 + ... + 110015898.

It is an arithmetic number, because the mean of its divisors is an integer number (86864796727).

Almost surely, 2^{18182621480400} is an apocalyptic number.

18182621480400 is a gapful number since it is divisible by the number (10) 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 18182621480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36483214625340).

18182621480400 is an abundant number, since it is smaller than the sum of its proper divisors (54783807770280).

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

18182621480400 is a wasteful number, since it uses less digits than its factorization.

18182621480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165475 (or 165449 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 18182621480400 in words is "eighteen trillion, one hundred eighty-two billion, six hundred twenty-one million, four hundred eighty thousand, four hundred".