14516393658208 has 144 divisors (see below), whose sum is σ = 32299840879488. Its totient is φ = 6377436979200.

The previous prime is 14516393658199. The next prime is 14516393658227. The reversal of 14516393658208 is 80285639361541.

It is a super-2 number, since 2×14516393658208² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47834760 + ... + 48137272.

It is an arithmetic number, because the mean of its divisors is an integer number (224304450552).

Almost surely, 2^{14516393658208} 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 14516393658208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149920439744).

14516393658208 is an abundant number, since it is smaller than the sum of its proper divisors (17783447221280).

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

14516393658208 is a wasteful number, since it uses less digits than its factorization.

14516393658208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302689 (or 302620 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 61.

The spelling of 14516393658208 in words is "fourteen trillion, five hundred sixteen billion, three hundred ninety-three million, six hundred fifty-eight thousand, two hundred eight".