10821118467456 has 576 divisors, whose sum is σ = 34875394117200. Its totient is φ = 3217234944000.

The previous prime is 10821118467437. The next prime is 10821118467503. The reversal of 10821118467456 is 65476481112801.

10821118467456 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 1 + 184 + 6 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10821118467456² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5765112790 + ... + 5765114666.

Almost surely, 2^{10821118467456} is an apocalyptic number.

10821118467456 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 10821118467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437697058600).

10821118467456 is an abundant number, since it is smaller than the sum of its proper divisors (24054275649744).

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

10821118467456 is a wasteful number, since it uses less digits than its factorization.

10821118467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10821118467456 in words is "ten trillion, eight hundred twenty-one billion, one hundred eighteen million, four hundred sixty-seven thousand, four hundred fifty-six".