14078291136 has 336 divisors, whose sum is σ = 47478574080. Its totient is φ = 3648153600.

The previous prime is 14078291131. The next prime is 14078291147. The reversal of 14078291136 is 63119287041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (14078291131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7214961 + ... + 7216911.

It is an arithmetic number, because the mean of its divisors is an integer number (141305280).

Almost surely, 2^14078291136 is an apocalyptic number.

14078291136 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 14078291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23739287040).

14078291136 is an abundant number, since it is smaller than the sum of its proper divisors (33400282944).

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

14078291136 is a wasteful number, since it uses less digits than its factorization.

14078291136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 14078291136 in words is "fourteen billion, seventy-eight million, two hundred ninety-one thousand, one hundred thirty-six".