810651249408 has 1728 divisors, whose sum is σ = 3215335882752. Its totient is φ = 174739783680.

The previous prime is 810651249383. The next prime is 810651249433. The reversal of 810651249408 is 804942156018.

It is an interprime number because it is at equal distance from previous prime (810651249383) and next prime (810651249433).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6383080641 + ... + 6383080767.

It is an arithmetic number, because the mean of its divisors is an integer number (1860726784).

Almost surely, 2^810651249408 is an apocalyptic number.

810651249408 is a gapful number since it is divisible by the number (88) 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 810651249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607667941376).

810651249408 is an abundant number, since it is smaller than the sum of its proper divisors (2404684633344).

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

810651249408 is a wasteful number, since it uses less digits than its factorization.

810651249408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 810651249408 in words is "eight hundred ten billion, six hundred fifty-one million, two hundred forty-nine thousand, four hundred eight".