801613283328 has 792 divisors, whose sum is σ = 2842764355704. Its totient is φ = 224227491840.

The previous prime is 801613283311. The next prime is 801613283329. The reversal of 801613283328 is 823382316108.

801613283328 is a `hidden beast` number, since 8 + 0 + 1 + 613 + 2 + 8 + 3 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801613283329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61662560250 + ... + 61662560262.

Almost surely, 2^801613283328 is an apocalyptic number.

801613283328 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 801613283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421382177852).

801613283328 is an abundant number, since it is smaller than the sum of its proper divisors (2041151072376).

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

801613283328 is an frugal number, since it uses more digits than its factorization.

801613283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 801613283328 in words is "eight hundred one billion, six hundred thirteen million, two hundred eighty-three thousand, three hundred twenty-eight".