14336103768 has 128 divisors (see below), whose sum is σ = 42149721600. Its totient is φ = 3977524224.

The previous prime is 14336103737. The next prime is 14336103787. The reversal of 14336103768 is 86730163341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646828 + ... + 3650756.

It is an arithmetic number, because the mean of its divisors is an integer number (329294700).

Almost surely, 2^14336103768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14336103768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074860800).

14336103768 is an abundant number, since it is smaller than the sum of its proper divisors (27813617832).

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

14336103768 is a wasteful number, since it uses less digits than its factorization.

14336103768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 14336103768 in words is "fourteen billion, three hundred thirty-six million, one hundred three thousand, seven hundred sixty-eight".