801460058112 has 384 divisors, whose sum is σ = 2806876800000. Its totient is φ = 221089333248.

The previous prime is 801460058081. The next prime is 801460058149. The reversal of 801460058112 is 211850064108.

801460058112 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 60 + 0 + 581 + 12 = 666.

801460058112 is digitally balanced in base 2, because in such base 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11189389 + ... + 11260787.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575000).

Almost surely, 2^801460058112 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 801460058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400000).

801460058112 is an abundant number, since it is smaller than the sum of its proper divisors (2005416741888).

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

801460058112 is a wasteful number, since it uses less digits than its factorization.

801460058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71466 (or 71440 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 801460058112 in words is "eight hundred one billion, four hundred sixty million, fifty-eight thousand, one hundred twelve".