14126891649936 has 320 divisors, whose sum is σ = 43317984804864. Its totient is φ = 3930048460800.

The previous prime is 14126891649919. The next prime is 14126891649977. The reversal of 14126891649936 is 63994619862141.

14126891649936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18762006 + ... + 19500426.

Almost surely, 2^{14126891649936} is an apocalyptic number.

14126891649936 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 14126891649936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21658992402432).

14126891649936 is an abundant number, since it is smaller than the sum of its proper divisors (29191093154928).

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

14126891649936 is a wasteful number, since it uses less digits than its factorization.

14126891649936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738542 (or 738536 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 69.

The spelling of 14126891649936 in words is "fourteen trillion, one hundred twenty-six billion, eight hundred ninety-one million, six hundred forty-nine thousand, nine hundred thirty-six".