1813811368320 has 384 divisors, whose sum is σ = 7469301565440. Its totient is φ = 396559798272.

The previous prime is 1813811368319. The next prime is 1813811368333. The reversal of 1813811368320 is 238631183181.

It is a happy number.

1813811368320 is a `hidden beast` number, since 181 + 3 + 81 + 1 + 368 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50584 + ... + 1905303.

It is an arithmetic number, because the mean of its divisors is an integer number (19451306160).

Almost surely, 2^{1813811368320} is an apocalyptic number.

1813811368320 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 1813811368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734650782720).

1813811368320 is an abundant number, since it is smaller than the sum of its proper divisors (5655490197120).

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

1813811368320 is a wasteful number, since it uses less digits than its factorization.

1813811368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955942 (or 1955927 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1813811368320 in words is "one trillion, eight hundred thirteen billion, eight hundred eleven million, three hundred sixty-eight thousand, three hundred twenty".