8292315011044 has 27 divisors (see below), whose sum is σ = 14544634268073. Its totient is φ = 4136726691072.

The previous prime is 8292315011041. The next prime is 8292315011083. The reversal of 8292315011044 is 4401105132928.

The square root of 8292315011044 is 2879638.

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

It can be written as a sum of positive squares in only one way, i.e., 7712451036900 + 579863974144 = 2777130^2 + 761488^2 .

It is a super-4 number, since 4×8292315011044⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8292315010988 and 8292315011006.

It is not an unprimeable number, because it can be changed into a prime (8292315011041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3012099972 + ... + 3012102724.

Almost surely, 2^{8292315011044} is an apocalyptic number.

8292315011044 is the 2879638-th square number.

It is an amenable number.

8292315011044 is a deficient number, since it is larger than the sum of its proper divisors (6252319257029).

8292315011044 is an frugal number, since it uses more digits than its factorization.

8292315011044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 8292315011044 in words is "eight trillion, two hundred ninety-two billion, three hundred fifteen million, eleven thousand, forty-four".