35252334140144 has 240 divisors, whose sum is σ = 80407603584000. Its totient is φ = 14915382451200.

The previous prime is 35252334140131. The next prime is 35252334140167. The reversal of 35252334140144 is 44104143325253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6443487329 + ... + 6443492799.

It is an arithmetic number, because the mean of its divisors is an integer number (335031681600).

Almost surely, 2^{35252334140144} 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 35252334140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40203801792000).

35252334140144 is an abundant number, since it is smaller than the sum of its proper divisors (45155269443856).

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

35252334140144 is a wasteful number, since it uses less digits than its factorization.

35252334140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8548 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 35252334140144 its reverse (44104143325253), we get a palindrome (79356477465397).

The spelling of 35252334140144 in words is "thirty-five trillion, two hundred fifty-two billion, three hundred thirty-four million, one hundred forty thousand, one hundred forty-four".