13952275456 has 88 divisors (see below), whose sum is σ = 33261621120. Its totient is φ = 5719498752.

The previous prime is 13952275429. The next prime is 13952275459. The reversal of 13952275456 is 65457225931.

13952275456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13952275459) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 122550 + ... + 207178.

Almost surely, 2^13952275456 is an apocalyptic number.

13952275456 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 13952275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630810560).

13952275456 is an abundant number, since it is smaller than the sum of its proper divisors (19309345664).

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

13952275456 is an equidigital number, since it uses as much as digits as its factorization.

13952275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84679 (or 84661 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 49.

The spelling of 13952275456 in words is "thirteen billion, nine hundred fifty-two million, two hundred seventy-five thousand, four hundred fifty-six".