811682072356 has 27 divisors (see below), whose sum is σ = 1456066118577. Its totient is φ = 395906436960.

The previous prime is 811682072303. The next prime is 811682072381. The reversal of 811682072356 is 653270286118.

It is a happy number.

The square root of 811682072356 is 900934.

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., 39111390756 + 772570681600 = 197766^2 + 878960^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 73871095 + ... + 73882081.

Almost surely, 2^811682072356 is an apocalyptic number.

811682072356 is the 900934-th square number.

It is an amenable number.

811682072356 is a deficient number, since it is larger than the sum of its proper divisors (644384046221).

811682072356 is an frugal number, since it uses more digits than its factorization.

811682072356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22060 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 811682072356 by its sum of digits (49), we get a square (39772421545444 = 6306538²).

The spelling of 811682072356 in words is "eight hundred eleven billion, six hundred eighty-two million, seventy-two thousand, three hundred fifty-six".