14228148965184 has 2240 divisors, whose sum is σ = 57989599641600. Its totient is φ = 3337732915200.

The previous prime is 14228148965167. The next prime is 14228148965237. The reversal of 14228148965184 is 48156984182241.

14228148965184 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 81 + 489 + 65 + 18 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17163026082 + ... + 17163026910.

Almost surely, 2^{14228148965184} is an apocalyptic number.

14228148965184 is a gapful number since it is divisible by the number (14) 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 14228148965184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28994799820800).

14228148965184 is an abundant number, since it is smaller than the sum of its proper divisors (43761450676416).

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

14228148965184 is a wasteful number, since it uses less digits than its factorization.

14228148965184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 975 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 14228148965184 in words is "fourteen trillion, two hundred twenty-eight billion, one hundred forty-eight million, nine hundred sixty-five thousand, one hundred eighty-four".