1811491464960 has 360 divisors, whose sum is σ = 6539251506480. Its totient is φ = 478786387968.

The previous prime is 1811491464947. The next prime is 1811491464967. The reversal of 1811491464960 is 694641941181.

1811491464960 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 4 + 9 + 146 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1811491464897 and 1811491464906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811491464967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11638531 + ... + 11793149.

It is an arithmetic number, because the mean of its divisors is an integer number (18164587518).

Almost surely, 2^{1811491464960} is an apocalyptic number.

1811491464960 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 1811491464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269625753240).

1811491464960 is an abundant number, since it is smaller than the sum of its proper divisors (4727760041520).

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

1811491464960 is a wasteful number, since it uses less digits than its factorization.

1811491464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154765 (or 154742 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1811491464960 in words is "one trillion, eight hundred eleven billion, four hundred ninety-one million, four hundred sixty-four thousand, nine hundred sixty".