13273902867456 has 352 divisors, whose sum is σ = 49010973173760. Its totient is φ = 3447766425600.

The previous prime is 13273902867451. The next prime is 13273902867479. The reversal of 13273902867456 is 65476820937231.

It is a happy number.

13273902867456 is a `hidden beast` number, since 1 + 3 + 2 + 73 + 90 + 28 + 6 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a junction number, because it is equal to n+sod(n) for n = 13273902867393 and 13273902867402.

It is not an unprimeable number, because it can be changed into a prime (13273902867451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988660 + ... + 5246451.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13273902867456 = 26547805734912, but 3⋅13273902867456 = 39821708602368 is not.

Almost surely, 2^{13273902867456} is an apocalyptic number.

13273902867456 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 13273902867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24505486586880).

13273902867456 is an abundant number, since it is smaller than the sum of its proper divisors (35737070306304).

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

13273902867456 is a wasteful number, since it uses less digits than its factorization.

13273902867456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235158 (or 6235134 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 13273902867456 in words is "thirteen trillion, two hundred seventy-three billion, nine hundred two million, eight hundred sixty-seven thousand, four hundred fifty-six".