1077684829456 has 45 divisors (see below), whose sum is σ = 2108231635503. Its totient is φ = 533674673280.

The previous prime is 1077684829379. The next prime is 1077684829483. The reversal of 1077684829456 is 6549284867701.

The square root of 1077684829456 is 1038116.

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 298207735056 + 779477094400 = 546084^2 + 882880^2 .

It is a super-2 number, since 2×1077684829456² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1077684829391 and 1077684829400.

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, 452617386 + ... + 452619766.

Almost surely, 2^{1077684829456} is an apocalyptic number.

1077684829456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1077684829456 is the 1038116-th square number.

It is an amenable number.

1077684829456 is a deficient number, since it is larger than the sum of its proper divisors (1030546806047).

1077684829456 is an frugal number, since it uses more digits than its factorization.

1077684829456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 67.

The spelling of 1077684829456 in words is "one trillion, seventy-seven billion, six hundred eighty-four million, eight hundred twenty-nine thousand, four hundred fifty-six".