14633130361416 has 512 divisors, whose sum is σ = 48054386073600. Its totient is φ = 3616653680640.

The previous prime is 14633130361387. The next prime is 14633130361501. The reversal of 14633130361416 is 61416303133641.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 143917956 + ... + 144019596.

It is an arithmetic number, because the mean of its divisors is an integer number (93856222800).

Almost surely, 2^{14633130361416} 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 14633130361416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24027193036800).

14633130361416 is an abundant number, since it is smaller than the sum of its proper divisors (33421255712184).

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

14633130361416 is a wasteful number, since it uses less digits than its factorization.

14633130361416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101789 (or 101785 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 14633130361416 in words is "fourteen trillion, six hundred thirty-three billion, one hundred thirty million, three hundred sixty-one thousand, four hundred sixteen".