801656082612 has 288 divisors, whose sum is σ = 2587642896384. Its totient is φ = 203203123200.

The previous prime is 801656082599. The next prime is 801656082649. The reversal of 801656082612 is 216280656108.

801656082612 is a `hidden beast` number, since 8 + 0 + 1 + 6 + 5 + 608 + 26 + 12 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 45981537 + ... + 45998967.

It is an arithmetic number, because the mean of its divisors is an integer number (8984871168).

Almost surely, 2^801656082612 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 801656082612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293821448192).

801656082612 is an abundant number, since it is smaller than the sum of its proper divisors (1785986813772).

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

801656082612 is a wasteful number, since it uses less digits than its factorization.

801656082612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17859 (or 17854 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 801656082612 in words is "eight hundred one billion, six hundred fifty-six million, eighty-two thousand, six hundred twelve".