1000468054756 has 27 divisors (see below), whose sum is σ = 1757076295611. Its totient is φ = 498452610624.

The previous prime is 1000468054727. The next prime is 1000468054777. The reversal of 1000468054756 is 6574508640001.

The square root of 1000468054756 is 1000234.

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 321795252900 + 678672801856 = 567270^2 + 823816^2 .

It is a super-2 number, since 2×1000468054756² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 698162616 + ... + 698164048.

Almost surely, 2^{1000468054756} is an apocalyptic number.

1000468054756 is the 1000234-th square number.

It is an amenable number.

1000468054756 is a deficient number, since it is larger than the sum of its proper divisors (756608240855).

1000468054756 is an frugal number, since it uses more digits than its factorization.

1000468054756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 1000468054756 in words is "one trillion, four hundred sixty-eight million, fifty-four thousand, seven hundred fifty-six".