1813402213600 has 288 divisors, whose sum is σ = 4669141155840. Its totient is φ = 686859264000.

The previous prime is 1813402213583. The next prime is 1813402213607. The reversal of 1813402213600 is 63122043181.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813402213607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221385505 + ... + 221393695.

It is an arithmetic number, because the mean of its divisors is an integer number (16212295680).

Almost surely, 2^{1813402213600} is an apocalyptic number.

1813402213600 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 1813402213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334570577920).

1813402213600 is an abundant number, since it is smaller than the sum of its proper divisors (2855738942240).

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

1813402213600 is a wasteful number, since it uses less digits than its factorization.

1813402213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 1813402213600 its reverse (63122043181), we get a palindrome (1876524256781).

The spelling of 1813402213600 in words is "one trillion, eight hundred thirteen billion, four hundred two million, two hundred thirteen thousand, six hundred".