8056219369104 has 315 divisors, whose sum is σ = 24024881052907. Its totient is φ = 2615821516800.

The previous prime is 8056219369057. The next prime is 8056219369123. The reversal of 8056219369104 is 4019639126508.

The square root of 8056219369104 is 2838348.

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

8056219369104 is a `hidden beast` number, since 8 + 0 + 5 + 621 + 9 + 3 + 6 + 9 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74012290704 + 7982207078400 = 272052^2 + 2825280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12568204624 + ... + 12568205264.

Almost surely, 2^{8056219369104} is an apocalyptic number.

8056219369104 is the 2838348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8056219369104

8056219369104 is an abundant number, since it is smaller than the sum of its proper divisors (15968661683803).

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

8056219369104 is an frugal number, since it uses more digits than its factorization.

8056219369104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 8056219369104 in words is "eight trillion, fifty-six billion, two hundred nineteen million, three hundred sixty-nine thousand, one hundred four".