1845415668096 has 1024 divisors, whose sum is σ = 7402093977600. Its totient is φ = 437058478080.

The previous prime is 1845415668071. The next prime is 1845415668101. The reversal of 1845415668096 is 6908665145481.

1845415668096 is a `hidden beast` number, since 1 + 8 + 4 + 541 + 5 + 6 + 6 + 80 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 287131635 + ... + 287138061.

It is an arithmetic number, because the mean of its divisors is an integer number (7228607400).

Almost surely, 2^{1845415668096} is an apocalyptic number.

1845415668096 is a gapful number since it is divisible by the number (16) 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 1845415668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701046988800).

1845415668096 is an abundant number, since it is smaller than the sum of its proper divisors (5556678309504).

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

1845415668096 is a wasteful number, since it uses less digits than its factorization.

1845415668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 1845415668096 in words is "one trillion, eight hundred forty-five billion, four hundred fifteen million, six hundred sixty-eight thousand, ninety-six".