34502364698112 has 480 divisors, whose sum is σ = 104660874489600. Its totient is φ = 10926595620864.

The previous prime is 34502364698111. The next prime is 34502364698117. The reversal of 34502364698112 is 21189646320543.

It is a happy number.

34502364698112 is a `hidden beast` number, since 3 + 4 + 502 + 3 + 6 + 46 + 9 + 81 + 12 = 666.

34502364698112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34502364698111) 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, 12239219839 + ... + 12239222657.

It is an arithmetic number, because the mean of its divisors is an integer number (218043488520).

Almost surely, 2^{34502364698112} is an apocalyptic number.

34502364698112 is a gapful number since it is divisible by the number (32) 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 34502364698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52330437244800).

34502364698112 is an abundant number, since it is smaller than the sum of its proper divisors (70158509791488).

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

34502364698112 is a wasteful number, since it uses less digits than its factorization.

34502364698112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34502364698112 in words is "thirty-four trillion, five hundred two billion, three hundred sixty-four million, six hundred ninety-eight thousand, one hundred twelve".