13827594144 has 192 divisors, whose sum is σ = 46115758080. Its totient is φ = 3529128960.

The previous prime is 13827594133. The next prime is 13827594163. The reversal of 13827594144 is 44149572831.

It is a super-2 number, since 2×13827594144² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13827594093 and 13827594102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245287 + ... + 296345.

It is an arithmetic number, because the mean of its divisors is an integer number (240186240).

Almost surely, 2^13827594144 is an apocalyptic number.

13827594144 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 13827594144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057879040).

13827594144 is an abundant number, since it is smaller than the sum of its proper divisors (32288163936).

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

13827594144 is a wasteful number, since it uses less digits than its factorization.

13827594144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51123 (or 51115 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 13827594144 in words is "thirteen billion, eight hundred twenty-seven million, five hundred ninety-four thousand, one hundred forty-four".