14943414915072 has 468 divisors, whose sum is σ = 50313620005740. Its totient is φ = 4260896833536.

The previous prime is 14943414915031. The next prime is 14943414915083. The reversal of 14943414915072 is 27051941434941.

14943414915072 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 3 + 41 + 4 + 91 + 507 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11280570126336 + 3662844788736 = 3358656^2 + 1913856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 919416898 + ... + 919433150.

It is an arithmetic number, because the mean of its divisors is an integer number (107507735055).

Almost surely, 2^{14943414915072} is an apocalyptic number.

14943414915072 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 14943414915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25156810002870).

14943414915072 is an abundant number, since it is smaller than the sum of its proper divisors (35370205090668).

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

14943414915072 is a wasteful number, since it uses less digits than its factorization.

14943414915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16806 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14943414915072 in words is "fourteen trillion, nine hundred forty-three billion, four hundred fourteen million, nine hundred fifteen thousand, seventy-two".