13972560048 has 80 divisors (see below), whose sum is σ = 40183757440. Its totient is φ = 4648539456.

The previous prime is 13972560037. The next prime is 13972560059. The reversal of 13972560048 is 84006527931.

13972560048 is a `hidden beast` number, since 1 + 39 + 7 + 2 + 5 + 600 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13972560037) and next prime (13972560059).

It is a junction number, because it is equal to n+sod(n) for n = 13972559985 and 13972560012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195015 + ... + 256857.

It is an arithmetic number, because the mean of its divisors is an integer number (502296968).

It is a 1-persistent number, because it is pandigital, but 2⋅13972560048 = 27945120096 is not.

Almost surely, 2^13972560048 is an apocalyptic number.

13972560048 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 13972560048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20091878720).

13972560048 is an abundant number, since it is smaller than the sum of its proper divisors (26211197392).

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

13972560048 is a wasteful number, since it uses less digits than its factorization.

13972560048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62383 (or 62371 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13972560048 in words is "thirteen billion, nine hundred seventy-two million, five hundred sixty thousand, forty-eight".