1084738914064 has 45 divisors (see below), whose sum is σ = 2275899081183. Its totient is φ = 500623733376.

The previous prime is 1084738914059. The next prime is 1084738914071. The reversal of 1084738914064 is 4604198374801.

The square root of 1084738914064 is 1041508.

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 386859120400 + 697879793664 = 621980^2 + 835392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1084738913996 and 1084738914014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54148402 + ... + 54168430.

Almost surely, 2^{1084738914064} is an apocalyptic number.

1084738914064 is the 1041508-th square number.

It is an amenable number.

1084738914064 is an abundant number, since it is smaller than the sum of its proper divisors (1191160167119).

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

1084738914064 is an frugal number, since it uses more digits than its factorization.

1084738914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40092 (or 20044 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 1084738914064 in words is "one trillion, eighty-four billion, seven hundred thirty-eight million, nine hundred fourteen thousand, sixty-four".