14712101098968 has 512 divisors, whose sum is σ = 50524662988800. Its totient is φ = 3454789459968.

The previous prime is 14712101098943. The next prime is 14712101098973. The reversal of 14712101098968 is 86989010121741.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 512834721 + ... + 512863407.

It is an arithmetic number, because the mean of its divisors is an integer number (98680982400).

Almost surely, 2^{14712101098968} 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 14712101098968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25262331494400).

14712101098968 is an abundant number, since it is smaller than the sum of its proper divisors (35812561889832).

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

14712101098968 is a wasteful number, since it uses less digits than its factorization.

14712101098968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29479 (or 29475 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 57.

The spelling of 14712101098968 in words is "fourteen trillion, seven hundred twelve billion, one hundred one million, ninety-eight thousand, nine hundred sixty-eight".