811185328464 has 160 divisors (see below), whose sum is σ = 2521505280000. Its totient is φ = 219522949632.

The previous prime is 811185328427. The next prime is 811185328469. The reversal of 811185328464 is 464823581118.

It is a happy number.

It is a super-3 number, since 3×811185328464³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811185328469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39755737 + ... + 39776135.

It is an arithmetic number, because the mean of its divisors is an integer number (15759408000).

Almost surely, 2^811185328464 is an apocalyptic number.

811185328464 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 811185328464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260752640000).

811185328464 is an abundant number, since it is smaller than the sum of its proper divisors (1710319951536).

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

811185328464 is a wasteful number, since it uses less digits than its factorization.

811185328464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26665 (or 26659 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The spelling of 811185328464 in words is "eight hundred eleven billion, one hundred eighty-five million, three hundred twenty-eight thousand, four hundred sixty-four".