893493066816 has 336 divisors, whose sum is σ = 3063521635200. Its totient is φ = 254618090496.

The previous prime is 893493066799. The next prime is 893493066839. The reversal of 893493066816 is 618660394398.

893493066816 is a `hidden beast` number, since 8 + 9 + 3 + 493 + 0 + 66 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×893493066816² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32923845 + ... + 32950971.

Almost surely, 2^893493066816 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 893493066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531760817600).

893493066816 is an abundant number, since it is smaller than the sum of its proper divisors (2170028568384).

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

893493066816 is a wasteful number, since it uses less digits than its factorization.

893493066816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27551 (or 27528 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 893493066816 in words is "eight hundred ninety-three billion, four hundred ninety-three million, sixty-six thousand, eight hundred sixteen".