13905027648 has 392 divisors, whose sum is σ = 43975324800. Its totient is φ = 4352818176.

The previous prime is 13905027629. The next prime is 13905027679. The reversal of 13905027648 is 84672050931.

13905027648 is a `hidden beast` number, since 1 + 39 + 0 + 502 + 76 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 58179913 + ... + 58180151.

It is a 1-persistent number, because it is pandigital, but 2⋅13905027648 = 27810055296 is not.

Almost surely, 2^13905027648 is an apocalyptic number.

13905027648 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 13905027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987662400).

13905027648 is an abundant number, since it is smaller than the sum of its proper divisors (30070297152).

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

13905027648 is an equidigital number, since it uses as much as digits as its factorization.

13905027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

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

The spelling of 13905027648 in words is "thirteen billion, nine hundred five million, twenty-seven thousand, six hundred forty-eight".