811166819904 has 315 divisors, whose sum is σ = 2798698724283. Its totient is φ = 231632255232.

The previous prime is 811166819867. The next prime is 811166819917. The reversal of 811166819904 is 409918661118.

The square root of 811166819904 is 900648.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 453925699 + ... + 453927485.

Almost surely, 2^811166819904 is an apocalyptic number.

811166819904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

811166819904 is the 900648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811166819904

811166819904 is an abundant number, since it is smaller than the sum of its proper divisors (1987531904379).

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

811166819904 is an frugal number, since it uses more digits than its factorization.

811166819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 811166819904 in words is "eight hundred eleven billion, one hundred sixty-six million, eight hundred nineteen thousand, nine hundred four".