811748818944 has 264 divisors, whose sum is σ = 2748779069120. Its totient is φ = 231928233984.

The previous prime is 811748818927. The next prime is 811748818961. The reversal of 811748818944 is 449818847118.

It is an interprime number because it is at equal distance from previous prime (811748818927) and next prime (811748818961).

It is a super-2 number, since 2×811748818944² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (16515072) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115964116989 + ... + 115964116995.

Almost surely, 2^811748818944 is an apocalyptic number.

811748818944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811748818944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374389534560).

811748818944 is an abundant number, since it is smaller than the sum of its proper divisors (1937030250176).

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

811748818944 is an frugal number, since it uses more digits than its factorization.

811748818944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 12 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 63.

The spelling of 811748818944 in words is "eight hundred eleven billion, seven hundred forty-eight million, eight hundred eighteen thousand, nine hundred forty-four".