13435801344 has 144 divisors (see below), whose sum is σ = 45408195840. Its totient is φ = 3838786560.

The previous prime is 13435801273. The next prime is 13435801349. The reversal of 13435801344 is 44310853431.

13435801344 is a `hidden beast` number, since 1 + 3 + 43 + 580 + 1 + 34 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13435801299 and 13435801308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435801349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90462 + ... + 187229.

Almost surely, 2^13435801344 is an apocalyptic number.

13435801344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13435801344 is an abundant number, since it is smaller than the sum of its proper divisors (31972394496).

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

13435801344 is an equidigital number, since it uses as much as digits as its factorization.

13435801344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277723 (or 277703 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13435801344 in words is "thirteen billion, four hundred thirty-five million, eight hundred one thousand, three hundred forty-four".