14054230315008 has 832 divisors, whose sum is σ = 46547002252800. Its totient is φ = 4160807239680.

The previous prime is 14054230314991. The next prime is 14054230315033. The reversal of 14054230315008 is 80051303245041.

14054230315008 is a `hidden beast` number, since 1 + 4 + 0 + 542 + 30 + 31 + 50 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-3 number, since 3×14054230315008³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21722148541 + ... + 21722149187.

Almost surely, 2^{14054230315008} is an apocalyptic number.

14054230315008 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 14054230315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23273501126400).

14054230315008 is an abundant number, since it is smaller than the sum of its proper divisors (32492771937792).

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

14054230315008 is a wasteful number, since it uses less digits than its factorization.

14054230315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14054230315008 in words is "fourteen trillion, fifty-four billion, two hundred thirty million, three hundred fifteen thousand, eight".