13827281664 has 288 divisors, whose sum is σ = 44927447040. Its totient is φ = 3690086400.

The previous prime is 13827281647. The next prime is 13827281681. The reversal of 13827281664 is 46618272831.

It is an interprime number because it is at equal distance from previous prime (13827281647) and next prime (13827281681).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4831594 + ... + 4834454.

It is an arithmetic number, because the mean of its divisors is an integer number (155998080).

Almost surely, 2^13827281664 is an apocalyptic number.

13827281664 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 13827281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22463723520).

13827281664 is an abundant number, since it is smaller than the sum of its proper divisors (31100165376).

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

13827281664 is a wasteful number, since it uses less digits than its factorization.

13827281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2933 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 13827281664 in words is "thirteen billion, eight hundred twenty-seven million, two hundred eighty-one thousand, six hundred sixty-four".