10643671351296 has 483 divisors, whose sum is σ = 32466534723991. Its totient is φ = 3487756713984.

The previous prime is 10643671351267. The next prime is 10643671351297. The reversal of 10643671351296 is 69215317634601.

The square root of 10643671351296 is 3262464.

It is a perfect power (a square), and thus also a powerful number.

10643671351296 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 36 + 7 + 1 + 3 + 512 + 96 = 666.

It is a super-2 number, since 2×10643671351296² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10643671351297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 180401209315 + ... + 180401209373.

Almost surely, 2^{10643671351296} is an apocalyptic number.

10643671351296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10643671351296 is the 3262464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10643671351296

10643671351296 is an abundant number, since it is smaller than the sum of its proper divisors (21822863372695).

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

10643671351296 is an frugal number, since it uses more digits than its factorization.

10643671351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

Adding to 10643671351296 its reverse (69215317634601), we get a palindrome (79858988985897).

The spelling of 10643671351296 in words is "ten trillion, six hundred forty-three billion, six hundred seventy-one million, three hundred fifty-one thousand, two hundred ninety-six".