14144753625408 has 672 divisors, whose sum is σ = 48916531722240. Its totient is φ = 3969042094080.

The previous prime is 14144753625367. The next prime is 14144753625421. The reversal of 14144753625408 is 80452635744141.

14144753625408 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 4 + 7 + 5 + 3 + 625 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2079190135 + ... + 2079196937.

It is an arithmetic number, because the mean of its divisors is an integer number (72792457920).

Almost surely, 2^{14144753625408} is an apocalyptic number.

14144753625408 is a gapful number since it is divisible by the number (18) 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 14144753625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24458265861120).

14144753625408 is an abundant number, since it is smaller than the sum of its proper divisors (34771778096832).

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

14144753625408 is an equidigital number, since it uses as much as digits as its factorization.

14144753625408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 14144753625408 in words is "fourteen trillion, one hundred forty-four billion, seven hundred fifty-three million, six hundred twenty-five thousand, four hundred eight".