8516456000 has 224 divisors, whose sum is σ = 24054462432. Its totient is φ = 2958950400.

The previous prime is 8516455991. The next prime is 8516456009. The reversal of 8516456000 is 6546158.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8516455991) and next prime (8516456009).

It can be written as a sum of positive squares in 16 ways, for example, as 7840039936 + 676416064 = 88544^2 + 26008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8516456009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1765592 + ... + 1770408.

It is an arithmetic number, because the mean of its divisors is an integer number (107385993).

Almost surely, 2^8516456000 is an apocalyptic number.

8516456000 is a gapful number since it is divisible by the number (80) 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 8516456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027231216).

8516456000 is an abundant number, since it is smaller than the sum of its proper divisors (15538006432).

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

8516456000 is a wasteful number, since it uses less digits than its factorization.

8516456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 8516456000 is about 92284.6466103653. The cubic root of 8516456000 is about 2042.1437160048.

It can be divided in two parts, 85 and 16456000, that multiplied together give a square (1398760000 = 37400²).

The spelling of 8516456000 in words is "eight billion, five hundred sixteen million, four hundred fifty-six thousand".