13478166117648 has 60 divisors (see below), whose sum is σ = 37723513939020. Its totient is φ = 4492320830208.

The previous prime is 13478166117623. The next prime is 13478166117677. The reversal of 13478166117648 is 84671166187431.

It is a happy number.

13478166117648 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 8 + 1 + 6 + 611 + 7 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1772817686784 + 11705348430864 = 1331472^2 + 3421308^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2558983 + ... + 5788326.

It is an arithmetic number, because the mean of its divisors is an integer number (628725232317).

Almost surely, 2^{13478166117648} is an apocalyptic number.

13478166117648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13478166117648 is an abundant number, since it is smaller than the sum of its proper divisors (24245347821372).

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

13478166117648 is a wasteful number, since it uses less digits than its factorization.

13478166117648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358536 (or 8358527 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 13478166117648 in words is "thirteen trillion, four hundred seventy-eight billion, one hundred sixty-six million, one hundred seventeen thousand, six hundred forty-eight".