13448907123456 has 288 divisors, whose sum is σ = 43085317058560. Its totient is φ = 3638173667328.

The previous prime is 13448907123403. The next prime is 13448907123467. The reversal of 13448907123456 is 65432170984431.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 13448907123396 and 13448907123405.

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 31 ways as a sum of consecutive naturals, for example, 178407885 + ... + 178483251.

It is a 1-persistent number, because it is pandigital, but 2⋅13448907123456 = 26897814246912 is not.

Almost surely, 2^{13448907123456} is an apocalyptic number.

13448907123456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13448907123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542658529280).

13448907123456 is an abundant number, since it is smaller than the sum of its proper divisors (29636409935104).

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

13448907123456 is a wasteful number, since it uses less digits than its factorization.

13448907123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77159 (or 77145 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 13448907123456 in words is "thirteen trillion, four hundred forty-eight billion, nine hundred seven million, one hundred twenty-three thousand, four hundred fifty-six".