11346408640224 has 144 divisors (see below), whose sum is σ = 37660420482048. Its totient is φ = 3172855885056.

The previous prime is 11346408640219. The next prime is 11346408640241. The reversal of 11346408640224 is 42204680464311.

It is a happy number.

11346408640224 is a `hidden beast` number, since 1 + 1 + 346 + 4 + 0 + 86 + 4 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 11346408640224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59779492 + ... + 59968995.

It is an arithmetic number, because the mean of its divisors is an integer number (261530697792).

Almost surely, 2^{11346408640224} is an apocalyptic number.

11346408640224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11346408640224 is an abundant number, since it is smaller than the sum of its proper divisors (26314011841824).

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

11346408640224 is a wasteful number, since it uses less digits than its factorization.

11346408640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119748557 (or 119748546 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 11346408640224 in words is "eleven trillion, three hundred forty-six billion, four hundred eight million, six hundred forty thousand, two hundred twenty-four".