13457263712256 has 2400 divisors, whose sum is σ = 53161412784480. Its totient is φ = 3364813799424.

The previous prime is 13457263712237. The next prime is 13457263712261. The reversal of 13457263712256 is 65221736275431.

13457263712256 is a `hidden beast` number, since 1 + 3 + 4 + 572 + 6 + 3 + 7 + 12 + 2 + 56 = 666.

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

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 199 ways as a sum of consecutive naturals, for example, 119090829256 + ... + 119090829368.

Almost surely, 2^{13457263712256} is an apocalyptic number.

13457263712256 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 13457263712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26580706392240).

13457263712256 is an abundant number, since it is smaller than the sum of its proper divisors (39704149072224).

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

13457263712256 is an equidigital number, since it uses as much as digits as its factorization.

13457263712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 161 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

Adding to 13457263712256 its reverse (65221736275431), we get a palindrome (78678999987687).

The spelling of 13457263712256 in words is "thirteen trillion, four hundred fifty-seven billion, two hundred sixty-three million, seven hundred twelve thousand, two hundred fifty-six".