13439530814976 has 1080 divisors, whose sum is σ = 48382428652272. Its totient is φ = 3517489152000.

The previous prime is 13439530814971. The next prime is 13439530814987. The reversal of 13439530814976 is 67941803593431.

It is a happy number.

13439530814976 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 9 + 530 + 8 + 1 + 4 + 97 + 6 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13439530814971) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11190283176 + ... + 11190284376.

Almost surely, 2^{13439530814976} is an apocalyptic number.

13439530814976 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 13439530814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24191214326136).

13439530814976 is an abundant number, since it is smaller than the sum of its proper divisors (34942897837296).

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

13439530814976 is a wasteful number, since it uses less digits than its factorization.

13439530814976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 13439530814976 in words is "thirteen trillion, four hundred thirty-nine billion, five hundred thirty million, eight hundred fourteen thousand, nine hundred seventy-six".