8873463914896 has 135 divisors (see below), whose sum is σ = 20140663771137. Its totient is φ = 3776210820480.

The previous prime is 8873463914879. The next prime is 8873463914897. The reversal of 8873463914896 is 6984193643788.

The square root of 8873463914896 is 2978836.

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

It can be written as a sum of positive squares in only one way, i.e., 778665056400 + 8094798858496 = 882420^2 + 2845136^2 .

It is a super-2 number, since 2×8873463914896² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8873463914897) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 15930814650 + ... + 15930815206.

Almost surely, 2^{8873463914896} is an apocalyptic number.

8873463914896 is the 2978836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8873463914896

8873463914896 is an abundant number, since it is smaller than the sum of its proper divisors (11267199856241).

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

8873463914896 is an frugal number, since it uses more digits than its factorization.

8873463914896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 757 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 76.

The spelling of 8873463914896 in words is "eight trillion, eight hundred seventy-three billion, four hundred sixty-three million, nine hundred fourteen thousand, eight hundred ninety-six".