1813869511400 has 96 divisors (see below), whose sum is σ = 4401564710400. Its totient is φ = 693850924800.

The previous prime is 1813869511393. The next prime is 1813869511439. The reversal of 1813869511400 is 41159683181.

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 23 ways as a sum of consecutive naturals, for example, 22320041 + ... + 22401159.

It is an arithmetic number, because the mean of its divisors is an integer number (45849632400).

Almost surely, 2^{1813869511400} is an apocalyptic number.

1813869511400 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 1813869511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200782355200).

1813869511400 is an abundant number, since it is smaller than the sum of its proper divisors (2587695199000).

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

1813869511400 is a wasteful number, since it uses less digits than its factorization.

1813869511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86019 (or 86010 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The spelling of 1813869511400 in words is "one trillion, eight hundred thirteen billion, eight hundred sixty-nine million, five hundred eleven thousand, four hundred".