11321014810464 has 480 divisors, whose sum is σ = 34681868153856. Its totient is φ = 3618824739840.

The previous prime is 11321014810447. The next prime is 11321014810481. The reversal of 11321014810464 is 46401841012311.

11321014810464 is a `hidden beast` number, since 1 + 1 + 32 + 10 + 148 + 10 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (11321014810447) and next prime (11321014810481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4823609739 + ... + 4823612085.

Almost surely, 2^{11321014810464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321014810464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340934076928).

11321014810464 is an abundant number, since it is smaller than the sum of its proper divisors (23360853343392).

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

11321014810464 is a wasteful number, since it uses less digits than its factorization.

11321014810464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 11321014810464 its reverse (46401841012311), we get a palindrome (57722855822775).

The spelling of 11321014810464 in words is "eleven trillion, three hundred twenty-one billion, fourteen million, eight hundred ten thousand, four hundred sixty-four".