13471924134144 has 144 divisors (see below), whose sum is σ = 40978799503488. Its totient is φ = 3848961785856.

The previous prime is 13471924134139. The next prime is 13471924134161. The reversal of 13471924134144 is 44143142917431.

It is a happy number.

It is a super-2 number, since 2×13471924134144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13471924134093 and 13471924134102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205529344 + ... + 205594880.

It is an arithmetic number, because the mean of its divisors is an integer number (284574996552).

Almost surely, 2^{13471924134144} is an apocalyptic number.

13471924134144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13471924134144 is an abundant number, since it is smaller than the sum of its proper divisors (27506875369344).

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

13471924134144 is an equidigital number, since it uses as much as digits as its factorization.

13471924134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103800 (or 103786 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 13471924134144 in words is "thirteen trillion, four hundred seventy-one billion, nine hundred twenty-four million, one hundred thirty-four thousand, one hundred forty-four".