14027661648 has 600 divisors, whose sum is σ = 54980897664. Its totient is φ = 3359854080.

The previous prime is 14027661617. The next prime is 14027661671. The reversal of 14027661648 is 84616672041.

14027661648 is a `hidden beast` number, since 1 + 4 + 0 + 27 + 6 + 616 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14269765 + ... + 14270747.

Almost surely, 2^14027661648 is an apocalyptic number.

14027661648 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 14027661648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27490448832).

14027661648 is an abundant number, since it is smaller than the sum of its proper divisors (40953236016).

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

14027661648 is a wasteful number, since it uses less digits than its factorization.

14027661648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14027661648 in words is "fourteen billion, twenty-seven million, six hundred sixty-one thousand, six hundred forty-eight".