13765230854144 has 324 divisors, whose sum is σ = 35203139954262. Its totient is φ = 5362774179840.

The previous prime is 13765230854143. The next prime is 13765230854147. The reversal of 13765230854144 is 44145803256731.

It can be written as a sum of positive squares in only one way, i.e., 8626485919744 + 5138744934400 = 2937088^2 + 2266880^2 .

It is not an unprimeable number, because it can be changed into a prime (13765230854143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 777117032 + ... + 777134744.

Almost surely, 2^{13765230854144} is an apocalyptic number.

13765230854144 is a gapful number since it is divisible by the number (14) 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 13765230854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17601569977131).

13765230854144 is an abundant number, since it is smaller than the sum of its proper divisors (21437909100118).

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

13765230854144 is an frugal number, since it uses more digits than its factorization.

13765230854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17783 (or 17733 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 13765230854144 in words is "thirteen trillion, seven hundred sixty-five billion, two hundred thirty million, eight hundred fifty-four thousand, one hundred forty-four".