13987282176 has 576 divisors, whose sum is σ = 49558333440. Its totient is φ = 3856398336.

The previous prime is 13987282159. The next prime is 13987282187. The reversal of 13987282176 is 67128278931.

It is a happy number.

13987282176 is a `hidden beast` number, since 1 + 398 + 7 + 2 + 82 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168521431 + ... + 168521513.

Almost surely, 2^13987282176 is an apocalyptic number.

13987282176 is a gapful number since it is divisible by the number (16) 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 13987282176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24779166720).

13987282176 is an abundant number, since it is smaller than the sum of its proper divisors (35571051264).

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

13987282176 is an frugal number, since it uses more digits than its factorization.

13987282176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 13987282176 in words is "thirteen billion, nine hundred eighty-seven million, two hundred eighty-two thousand, one hundred seventy-six".