8553891456 has 192 divisors, whose sum is σ = 27133142400. Its totient is φ = 2564997120.

The previous prime is 8553891431. The next prime is 8553891481. The reversal of 8553891456 is 6541983558.

8553891456 is a `hidden beast` number, since 8 + 553 + 89 + 1 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8553891431) and next prime (8553891481).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225705 + ... + 1232663.

It is an arithmetic number, because the mean of its divisors is an integer number (141318450).

Almost surely, 2^8553891456 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 8553891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566571200).

8553891456 is an abundant number, since it is smaller than the sum of its proper divisors (18579250944).

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

8553891456 is a wasteful number, since it uses less digits than its factorization.

8553891456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7072 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The square root of 8553891456 is about 92487.2502348297. The cubic root of 8553891456 is about 2045.1315331573.

It can be divided in two parts, 8553 and 891456, that added together give a palindrome (900009).

The spelling of 8553891456 in words is "eight billion, five hundred fifty-three million, eight hundred ninety-one thousand, four hundred fifty-six".