35104642061112 has 192 divisors, whose sum is σ = 105092507520000. Its totient is φ = 10518484407552.

The previous prime is 35104642061059. The next prime is 35104642061119. The reversal of 35104642061112 is 21116024640153.

35104642061112 is a `hidden beast` number, since 3 + 5 + 1 + 0 + 4 + 6 + 4 + 20 + 611 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35104642061119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6749439 + ... + 10759377.

It is an arithmetic number, because the mean of its divisors is an integer number (547356810000).

Almost surely, 2^{35104642061112} 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 35104642061112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52546253760000).

35104642061112 is an abundant number, since it is smaller than the sum of its proper divisors (69987865458888).

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

35104642061112 is a wasteful number, since it uses less digits than its factorization.

35104642061112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010210 (or 4010203 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 35104642061112 in words is "thirty-five trillion, one hundred four billion, six hundred forty-two million, sixty-one thousand, one hundred twelve".