14098135919616 has 1320 divisors, whose sum is σ = 52225893772800. Its totient is φ = 3766102179840.

The previous prime is 14098135919563. The next prime is 14098135919627. The reversal of 14098135919616 is 61691953189041.

14098135919616 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 8 + 1 + 3 + 5 + 9 + 1 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6100447101 + ... + 6100449411.

It is an arithmetic number, because the mean of its divisors is an integer number (39565071040).

Almost surely, 2^{14098135919616} is an apocalyptic number.

14098135919616 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 14098135919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26112946886400).

14098135919616 is an abundant number, since it is smaller than the sum of its proper divisors (38127757853184).

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

14098135919616 is a wasteful number, since it uses less digits than its factorization.

14098135919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 14098135919616 in words is "fourteen trillion, ninety-eight billion, one hundred thirty-five million, nine hundred nineteen thousand, six hundred sixteen".