13950517248 has 266 divisors, whose sum is σ = 42405381134. Its totient is φ = 4586471424.

The previous prime is 13950517223. The next prime is 13950517253. The reversal of 13950517248 is 84271505931.

13950517248 is a `hidden beast` number, since 1 + 3 + 95 + 0 + 517 + 2 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12230590464 + 1719926784 = 110592^2 + 41472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 191102940 + ... + 191103012.

Almost surely, 2^13950517248 is an apocalyptic number.

13950517248 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 13950517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21202690567).

13950517248 is an abundant number, since it is smaller than the sum of its proper divisors (28454863886).

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

13950517248 is an frugal number, since it uses more digits than its factorization.

13950517248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13950517248 in words is "thirteen billion, nine hundred fifty million, five hundred seventeen thousand, two hundred forty-eight".