13948676280 has 384 divisors, whose sum is σ = 58615764480. Its totient is φ = 2898270720.

The previous prime is 13948676279. The next prime is 13948676299. The reversal of 13948676280 is 8267684931.

13948676280 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 8 + 6 + 7 + 628 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739122 + ... + 757758.

It is an arithmetic number, because the mean of its divisors is an integer number (152645220).

Almost surely, 2^13948676280 is an apocalyptic number.

13948676280 is a gapful number since it is divisible by the number (10) 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 13948676280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29307882240).

13948676280 is an abundant number, since it is smaller than the sum of its proper divisors (44667088200).

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

13948676280 is a wasteful number, since it uses less digits than its factorization.

13948676280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18681 (or 18665 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13948676280 in words is "thirteen billion, nine hundred forty-eight million, six hundred seventy-six thousand, two hundred eighty".