14196010739456 has 288 divisors, whose sum is σ = 35014775685120. Its totient is φ = 5593673023488.

The previous prime is 14196010739423. The next prime is 14196010739459. The reversal of 14196010739456 is 65493701069141.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14196010739459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11116687490 + ... + 11116688766.

It is an arithmetic number, because the mean of its divisors is an integer number (121579082240).

Almost surely, 2^{14196010739456} is an apocalyptic number.

14196010739456 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 14196010739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507387842560).

14196010739456 is an abundant number, since it is smaller than the sum of its proper divisors (20818764945664).

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

14196010739456 is a wasteful number, since it uses less digits than its factorization.

14196010739456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 14196010739456 in words is "fourteen trillion, one hundred ninety-six billion, ten million, seven hundred thirty-nine thousand, four hundred fifty-six".