14735187648 has 168 divisors, whose sum is σ = 47074500720. Its totient is φ = 4379443200.

The previous prime is 14735187641. The next prime is 14735187689. The reversal of 14735187648 is 84678153741.

14735187648 is a `hidden beast` number, since 1 + 473 + 51 + 87 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14735187594 and 14735187603.

It is not an unprimeable number, because it can be changed into a prime (14735187641) 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, 146448 + ... + 225648.

Almost surely, 2^14735187648 is an apocalyptic number.

14735187648 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 14735187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23537250360).

14735187648 is an abundant number, since it is smaller than the sum of its proper divisors (32339313072).

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

14735187648 is a wasteful number, since it uses less digits than its factorization.

14735187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79255 (or 79242 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 14735187648 in words is "fourteen billion, seven hundred thirty-five million, one hundred eighty-seven thousand, six hundred forty-eight".