13978971648 has 240 divisors, whose sum is σ = 43138551456. Its totient is φ = 4347002880.

The previous prime is 13978971641. The next prime is 13978971673. The reversal of 13978971648 is 84617987931.

13978971648 is a `hidden beast` number, since 1 + 397 + 89 + 7 + 164 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13978971641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4343736 + ... + 4346952.

Almost surely, 2^13978971648 is an apocalyptic number.

13978971648 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 13978971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21569275728).

13978971648 is an abundant number, since it is smaller than the sum of its proper divisors (29159579808).

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

13978971648 is a wasteful number, since it uses less digits than its factorization.

13978971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3286 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 13978971648 in words is "thirteen billion, nine hundred seventy-eight million, nine hundred seventy-one thousand, six hundred forty-eight".