1811612048640 has 288 divisors, whose sum is σ = 6193594713600. Its totient is φ = 449912217600.

The previous prime is 1811612048629. The next prime is 1811612048663. The reversal of 1811612048640 is 468402161181.

It is a junction number, because it is equal to n+sod(n) for n = 1811612048592 and 1811612048601.

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 31 ways as a sum of consecutive naturals, for example, 4094215 + ... + 4515065.

It is an arithmetic number, because the mean of its divisors is an integer number (21505537200).

Almost surely, 2^{1811612048640} is an apocalyptic number.

1811612048640 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 1811612048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096797356800).

1811612048640 is an abundant number, since it is smaller than the sum of its proper divisors (4381982664960).

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

1811612048640 is a wasteful number, since it uses less digits than its factorization.

1811612048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420953 (or 420939 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 1811612048640 in words is "one trillion, eight hundred eleven billion, six hundred twelve million, forty-eight thousand, six hundred forty".