535435503601344 has 112 divisors (see below), whose sum is σ = 1423856713977600. Its totient is φ = 177574571928576.

The previous prime is 535435503601337. The next prime is 535435503601373. The reversal of 535435503601344 is 443106305534535.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58475397 + ... + 67009275.

It is an arithmetic number, because the mean of its divisors is an integer number (12713006374800).

Almost surely, 2^{535435503601344} 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 535435503601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711928356988800).

535435503601344 is an abundant number, since it is smaller than the sum of its proper divisors (888421210376256).

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

535435503601344 is a wasteful number, since it uses less digits than its factorization.

535435503601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535550 (or 8535540 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 51.

The spelling of 535435503601344 in words is "five hundred thirty-five trillion, four hundred thirty-five billion, five hundred three million, six hundred one thousand, three hundred forty-four".