13643135447328 has 96 divisors (see below), whose sum is σ = 39796596342720. Its totient is φ = 4547241192960.

The previous prime is 13643135447317. The next prime is 13643135447363. The reversal of 13643135447328 is 82374453134631.

13643135447328 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 3 + 1 + 3 + 544 + 73 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13643135447328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7586751 + ... + 9211137.

It is an arithmetic number, because the mean of its divisors is an integer number (414547878570).

Almost surely, 2^{13643135447328} is an apocalyptic number.

13643135447328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13643135447328 is an abundant number, since it is smaller than the sum of its proper divisors (26153460895392).

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

13643135447328 is a wasteful number, since it uses less digits than its factorization.

13643135447328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634127 (or 1634113 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 13643135447328 in words is "thirteen trillion, six hundred forty-three billion, one hundred thirty-five million, four hundred forty-seven thousand, three hundred twenty-eight".