13952360448 has 168 divisors, whose sum is σ = 43407675948. Its totient is φ = 4292739072.

The previous prime is 13952360437. The next prime is 13952360503. The reversal of 13952360448 is 84406325931.

13952360448 is a `hidden beast` number, since 1 + 39 + 5 + 2 + 3 + 604 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12019175424 + 1933185024 = 109632^2 + 43968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951186 + ... + 965742.

Almost surely, 2^13952360448 is an apocalyptic number.

13952360448 is a gapful number since it is divisible by the number (18) 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 13952360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703837974).

13952360448 is an abundant number, since it is smaller than the sum of its proper divisors (29455315500).

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

13952360448 is a wasteful number, since it uses less digits than its factorization.

13952360448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13952360448 in words is "thirteen billion, nine hundred fifty-two million, three hundred sixty thousand, four hundred forty-eight".