14128311951360 has 672 divisors, whose sum is σ = 49714103406240. Its totient is φ = 3710993301504.

The previous prime is 14128311951349. The next prime is 14128311951379. The reversal of 14128311951360 is 6315911382141.

14128311951360 is a `hidden beast` number, since 1 + 4 + 1 + 283 + 1 + 1 + 9 + 5 + 1 + 360 = 666.

It is a super-2 number, since 2×14128311951360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17042595426 + ... + 17042596254.

It is an arithmetic number, because the mean of its divisors is an integer number (73979320545).

Almost surely, 2^{14128311951360} is an apocalyptic number.

14128311951360 is a gapful number since it is divisible by the number (10) 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 14128311951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24857051703120).

14128311951360 is an abundant number, since it is smaller than the sum of its proper divisors (35585791454880).

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

14128311951360 is an equidigital number, since it uses as much as digits as its factorization.

14128311951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 14128311951360 in words is "fourteen trillion, one hundred twenty-eight billion, three hundred eleven million, nine hundred fifty-one thousand, three hundred sixty".