14381313408 has 1152 divisors, whose sum is σ = 58772563200. Its totient is φ = 3321077760.

The previous prime is 14381313337. The next prime is 14381313409. The reversal of 14381313408 is 80431318341.

It is a happy number.

14381313408 is a `hidden beast` number, since 143 + 81 + 31 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14381313409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271345510 + ... + 271345562.

It is an arithmetic number, because the mean of its divisors is an integer number (51017850).

Almost surely, 2^14381313408 is an apocalyptic number.

14381313408 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 14381313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29386281600).

14381313408 is an abundant number, since it is smaller than the sum of its proper divisors (44391249792).

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

14381313408 is a wasteful number, since it uses less digits than its factorization.

14381313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14381313408 in words is "fourteen billion, three hundred eighty-one million, three hundred thirteen thousand, four hundred eight".