11000400344193 has 48 divisors (see below), whose sum is σ = 16041923565696. Its totient is φ = 6701433523200.

The previous prime is 11000400344137. The next prime is 11000400344203. The reversal of 11000400344193 is 39144300400011.

It is not a de Polignac number, because 11000400344193 - 2²⁵ = 11000366789761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000400344193.

It is not an unprimeable number, because it can be changed into a prime (11000400344993) 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, 467354521 + ... + 467378057.

It is an arithmetic number, because the mean of its divisors is an integer number (334206740952).

Almost surely, 2^{11000400344193} is an apocalyptic number.

11000400344193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11000400344193 is a deficient number, since it is larger than the sum of its proper divisors (5041523221503).

11000400344193 is a wasteful number, since it uses less digits than its factorization.

11000400344193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32794 (or 32781 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 11000400344193 in words is "eleven trillion, four hundred million, three hundred forty-four thousand, one hundred ninety-three".