13281595046496 has 480 divisors, whose sum is σ = 46050197098752. Its totient is φ = 3676802595840.

The previous prime is 13281595046459. The next prime is 13281595046527. The reversal of 13281595046496 is 69464059518231.

13281595046496 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 59 + 50 + 46 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74064975 + ... + 74244081.

Almost surely, 2^{13281595046496} is an apocalyptic number.

13281595046496 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 13281595046496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23025098549376).

13281595046496 is an abundant number, since it is smaller than the sum of its proper divisors (32768602052256).

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

13281595046496 is a wasteful number, since it uses less digits than its factorization.

13281595046496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179264 (or 179247 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 13281595046496 in words is "thirteen trillion, two hundred eighty-one billion, five hundred ninety-five million, forty-six thousand, four hundred ninety-six".