14352307941136 has 135 divisors (see below), whose sum is σ = 31666363005823. Its totient is φ = 6296697003520.

The previous prime is 14352307941119. The next prime is 14352307941137. The reversal of 14352307941136 is 63114970325341.

The square root of 14352307941136 is 3788444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5718583518736 + 8633724422400 = 2391356^2 + 2938320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14352307941136.

It is not an unprimeable number, because it can be changed into a prime (14352307941137) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4834053060 + ... + 4834056028.

Almost surely, 2^{14352307941136} is an apocalyptic number.

14352307941136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14352307941136 is the 3788444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14352307941136

14352307941136 is an abundant number, since it is smaller than the sum of its proper divisors (17314055064687).

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

14352307941136 is an frugal number, since it uses more digits than its factorization.

14352307941136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 14352307941136 by its sum of digits (49), we get a square (703263089115664 = 26519108²).

The spelling of 14352307941136 in words is "fourteen trillion, three hundred fifty-two billion, three hundred seven million, nine hundred forty-one thousand, one hundred thirty-six".