10531151630464 has 32 divisors (see below), whose sum is σ = 21165692638140. Its totient is φ = 5218977792000.

The previous prime is 10531151630437. The next prime is 10531151630497. The reversal of 10531151630464 is 46403615113501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10333653160000 + 197498470464 = 3214600^2 + 444408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10531151630464² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364032537 + ... + 364061464.

Almost surely, 2^{10531151630464} is an apocalyptic number.

It is an amenable number.

10531151630464 is an abundant number, since it is smaller than the sum of its proper divisors (10634541007676).

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

10531151630464 is an equidigital number, since it uses as much as digits as its factorization.

10531151630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728094128 (or 728094116 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 10531151630464 its reverse (46403615113501), we get a palindrome (56934766743965).

The spelling of 10531151630464 in words is "ten trillion, five hundred thirty-one billion, one hundred fifty-one million, six hundred thirty thousand, four hundred sixty-four".