14407993526112 has 192 divisors, whose sum is σ = 42322987607040. Its totient is φ = 4768481599488.

The previous prime is 14407993526111. The next prime is 14407993526189. The reversal of 14407993526112 is 21162539970441.

14407993526112 is a `hidden beast` number, since 1 + 4 + 40 + 79 + 9 + 3 + 526 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14407993526111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127927168 + ... + 128039744.

It is an arithmetic number, because the mean of its divisors is an integer number (220432227120).

Almost surely, 2^{14407993526112} is an apocalyptic number.

14407993526112 is a gapful number since it is divisible by the number (12) 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 14407993526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21161493803520).

14407993526112 is an abundant number, since it is smaller than the sum of its proper divisors (27914994080928).

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

14407993526112 is a wasteful number, since it uses less digits than its factorization.

14407993526112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113650 (or 113636 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 14407993526112 in words is "fourteen trillion, four hundred seven billion, nine hundred ninety-three million, five hundred twenty-six thousand, one hundred twelve".