1074008886336 has 189 divisors, whose sum is σ = 3190409208831. Its totient is φ = 345425891328.

The previous prime is 1074008886283. The next prime is 1074008886343. The reversal of 1074008886336 is 6336888004701.

The square root of 1074008886336 is 1036344.

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

It can be written as a sum of positive squares in 4 ways, for example, as 81992886336 + 992016000000 = 286344^2 + 996000^2 .

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 26 ways as a sum of consecutive naturals, for example, 721294680 + ... + 721296168.

Almost surely, 2^{1074008886336} is an apocalyptic number.

1074008886336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1074008886336 is the 1036344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074008886336

1074008886336 is an abundant number, since it is smaller than the sum of its proper divisors (2116400322495).

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

1074008886336 is an frugal number, since it uses more digits than its factorization.

1074008886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1074008886336 in words is "one trillion, seventy-four billion, eight million, eight hundred eighty-six thousand, three hundred thirty-six".