14941149696 has 360 divisors, whose sum is σ = 47997261312. Its totient is φ = 4470681600.

The previous prime is 14941149677. The next prime is 14941149697. The reversal of 14941149696 is 69694114941.

14941149696 is a `hidden beast` number, since 1 + 494 + 1 + 149 + 6 + 9 + 6 = 666.

14941149696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (1679616) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (14941149697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70811031 + ... + 70811241.

Almost surely, 2^14941149696 is an apocalyptic number.

14941149696 is a gapful number since it is divisible by the number (16) 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 14941149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998630656).

14941149696 is an abundant number, since it is smaller than the sum of its proper divisors (33056111616).

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

14941149696 is a wasteful number, since it uses less digits than its factorization.

14941149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 354 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 14941149696 in words is "fourteen billion, nine hundred forty-one million, one hundred forty-nine thousand, six hundred ninety-six".