35052342933312 has 448 divisors, whose sum is σ = 109929080217600. Its totient is φ = 10927011870720.

The previous prime is 35052342933301. The next prime is 35052342933379. The reversal of 35052342933312 is 21333924325053.

35052342933312 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 23 + 4 + 293 + 331 + 2 = 666.

It is a super-2 number, since 2×35052342933312² (a number of 28 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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1907186139 + ... + 1907204517.

It is an arithmetic number, because the mean of its divisors is an integer number (245377411200).

Almost surely, 2^{35052342933312} is an apocalyptic number.

35052342933312 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 35052342933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54964540108800).

35052342933312 is an abundant number, since it is smaller than the sum of its proper divisors (74876737284288).

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

35052342933312 is a wasteful number, since it uses less digits than its factorization.

35052342933312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19491 (or 19475 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 35052342933312 in words is "thirty-five trillion, fifty-two billion, three hundred forty-two million, nine hundred thirty-three thousand, three hundred twelve".