1845116582400 has 1440 divisors, whose sum is σ = 8383009345920. Its totient is φ = 389213061120.

The previous prime is 1845116582341. The next prime is 1845116582411. The reversal of 1845116582400 is 42856115481.

1845116582400 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 1 + 165 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 408842544 + ... + 408847056.

It is an arithmetic number, because the mean of its divisors is an integer number (5821534268).

Almost surely, 2^{1845116582400} is an apocalyptic number.

1845116582400 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 1845116582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191504672960).

1845116582400 is an abundant number, since it is smaller than the sum of its proper divisors (6537892763520).

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

1845116582400 is a wasteful number, since it uses less digits than its factorization.

1845116582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1845116582400 in words is "one trillion, eight hundred forty-five billion, one hundred sixteen million, five hundred eighty-two thousand, four hundred".