35233442000352 has 144 divisors (see below), whose sum is σ = 104923484029728. Its totient is φ = 11193872363520.

The previous prime is 35233442000303. The next prime is 35233442000381. The reversal of 35233442000352 is 25300024433253.

It is a happy number.

35233442000352 is a `hidden beast` number, since 35 + 2 + 33 + 44 + 200 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7603173 + ... + 11325860.

It is an arithmetic number, because the mean of its divisors is an integer number (728635305762).

Almost surely, 2^{35233442000352} is an apocalyptic number.

35233442000352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35233442000352 is an abundant number, since it is smaller than the sum of its proper divisors (69690042029376).

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

35233442000352 is a wasteful number, since it uses less digits than its factorization.

35233442000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18929353 (or 18929342 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 35233442000352 in words is "thirty-five trillion, two hundred thirty-three billion, four hundred forty-two million, three hundred fifty-two", and thus it is an aban number.