810983979456 has 224 divisors, whose sum is σ = 2602739381760. Its totient is φ = 217556680704.

The previous prime is 810983979409. The next prime is 810983979457. The reversal of 810983979456 is 654979389018.

810983979456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810983979457) 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, 9530956 + ... + 9615668.

It is an arithmetic number, because the mean of its divisors is an integer number (11619372240).

Almost surely, 2^810983979456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810983979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301369690880).

810983979456 is an abundant number, since it is smaller than the sum of its proper divisors (1791755402304).

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

810983979456 is a wasteful number, since it uses less digits than its factorization.

810983979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85171 (or 85161 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 810983979456 in words is "eight hundred ten billion, nine hundred eighty-three million, nine hundred seventy-nine thousand, four hundred fifty-six".