13848757743744 has 1536 divisors, whose sum is σ = 52929676800000. Its totient is φ = 3572968734720.

The previous prime is 13848757743697. The next prime is 13848757743757. The reversal of 13848757743744 is 44734775784831.

13848757743744 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 8 + 7 + 577 + 4 + 3 + 7 + 44 = 666.

It is a super-2 number, since 2×13848757743744² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23353722712 + ... + 23353723304.

It is an arithmetic number, because the mean of its divisors is an integer number (34459425000).

Almost surely, 2^{13848757743744} is an apocalyptic number.

13848757743744 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 13848757743744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26464838400000).

13848757743744 is an abundant number, since it is smaller than the sum of its proper divisors (39080919056256).

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

13848757743744 is an equidigital number, since it uses as much as digits as its factorization.

13848757743744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 815 counting only the distinct ones).

The product of its digits is 1770209280, while the sum is 72.

The spelling of 13848757743744 in words is "thirteen trillion, eight hundred forty-eight billion, seven hundred fifty-seven million, seven hundred forty-three thousand, seven hundred forty-four".