14141691648 has 324 divisors, whose sum is σ = 47725172040. Its totient is φ = 4015484928.

The previous prime is 14141691647. The next prime is 14141691667. The reversal of 14141691648 is 84619614141.

14141691648 is a `hidden beast` number, since 141 + 416 + 91 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×14141691648² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141691643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25852911 + ... + 25853457.

Almost surely, 2^14141691648 is an apocalyptic number.

14141691648 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 14141691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23862586020).

14141691648 is an abundant number, since it is smaller than the sum of its proper divisors (33583480392).

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

14141691648 is a wasteful number, since it uses less digits than its factorization.

14141691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 788 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 14141691648 in words is "fourteen billion, one hundred forty-one million, six hundred ninety-one thousand, six hundred forty-eight".