8154816880896 has 405 divisors, whose sum is σ = 28296166393341. Its totient is φ = 2329125249024.

The previous prime is 8154816880883. The next prime is 8154816880937. The reversal of 8154816880896 is 6980886184518.

The square root of 8154816880896 is 2855664.

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

8154816880896 is a `hidden beast` number, since 8 + 1 + 5 + 481 + 68 + 8 + 0 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3201236640000 + 4953580240896 = 1789200^2 + 2225664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 2878507896 + ... + 2878510728.

Almost surely, 2^{8154816880896} is an apocalyptic number.

8154816880896 is the 2855664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8154816880896

8154816880896 is an abundant number, since it is smaller than the sum of its proper divisors (20141349512445).

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

8154816880896 is an frugal number, since it uses more digits than its factorization.

8154816880896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 72.

The spelling of 8154816880896 in words is "eight trillion, one hundred fifty-four billion, eight hundred sixteen million, eight hundred eighty thousand, eight hundred ninety-six".