11814570945360 has 960 divisors, whose sum is σ = 44725457387520. Its totient is φ = 2888536412160.

The previous prime is 11814570945349. The next prime is 11814570945367. The reversal of 11814570945360 is 6354907541811.

11814570945360 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 4 + 570 + 9 + 4 + 5 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11814570945297 and 11814570945306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11814570945367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1923254449 + ... + 1923260591.

It is an arithmetic number, because the mean of its divisors is an integer number (46589018112).

Almost surely, 2^{11814570945360} is an apocalyptic number.

11814570945360 is a gapful number since it is divisible by the number (10) 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 11814570945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362728693760).

11814570945360 is an abundant number, since it is smaller than the sum of its proper divisors (32910886442160).

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

11814570945360 is a wasteful number, since it uses less digits than its factorization.

11814570945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 11814570945360 in words is "eleven trillion, eight hundred fourteen billion, five hundred seventy million, nine hundred forty-five thousand, three hundred sixty".