13952590848 has 330 divisors, whose sum is σ = 48481758006. Its totient is φ = 3985293312.

The previous prime is 13952590831. The next prime is 13952590849. The reversal of 13952590848 is 84809525931.

13952590848 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 2 + 590 + 8 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10989748224 + 2962842624 = 104832^2 + 54432^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13952590794 and 13952590803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13952590849) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4062540 + ... + 4065972.

Almost surely, 2^13952590848 is an apocalyptic number.

13952590848 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 13952590848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24240879003).

13952590848 is an abundant number, since it is smaller than the sum of its proper divisors (34529167158).

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

13952590848 is an equidigital number, since it uses as much as digits as its factorization.

13952590848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 13952590848 in words is "thirteen billion, nine hundred fifty-two million, five hundred ninety thousand, eight hundred forty-eight".