80846630172 has 576 divisors, whose sum is σ = 278877634560. Its totient is φ = 20003760000.

The previous prime is 80846630147. The next prime is 80846630231. The reversal of 80846630172 is 27103664808.

80846630172 is a `hidden beast` number, since 8 + 0 + 8 + 4 + 6 + 630 + 1 + 7 + 2 = 666.

It is a super-2 number, since 2×80846630172² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 128124297 + ... + 128124927.

It is an arithmetic number, because the mean of its divisors is an integer number (484162560).

Almost surely, 2^80846630172 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 80846630172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139438817280).

80846630172 is an abundant number, since it is smaller than the sum of its proper divisors (198031004388).

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

80846630172 is a wasteful number, since it uses less digits than its factorization.

80846630172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 80846630172 in words is "eighty billion, eight hundred forty-six million, six hundred thirty thousand, one hundred seventy-two".