813241951704 has 768 divisors, whose sum is σ = 2858202547200. Its totient is φ = 203219767296.

The previous prime is 813241951619. The next prime is 813241951741. The reversal of 813241951704 is 407159142318.

It is a super-2 number, since 2×813241951704² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813241951704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1597724602 + ... + 1597725110.

It is an arithmetic number, because the mean of its divisors is an integer number (3721617900).

Almost surely, 2^813241951704 is an apocalyptic number.

813241951704 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 813241951704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429101273600).

813241951704 is an abundant number, since it is smaller than the sum of its proper divisors (2044960595496).

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

813241951704 is a wasteful number, since it uses less digits than its factorization.

813241951704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 813241951704 in words is "eight hundred thirteen billion, two hundred forty-one million, nine hundred fifty-one thousand, seven hundred four".