353633313664 has 128 divisors (see below), whose sum is σ = 723100815360. Its totient is φ = 172224000000.

The previous prime is 353633313629. The next prime is 353633313721. The reversal of 353633313664 is 466313336353.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (3149280) is a multiple of the sum of its prime factors (1620).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307239489 + ... + 307240639.

It is an arithmetic number, because the mean of its divisors is an integer number (5649225120).

Almost surely, 2^353633313664 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 353633313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361550407680).

353633313664 is an abundant number, since it is smaller than the sum of its proper divisors (369467501696).

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

353633313664 is a wasteful number, since it uses less digits than its factorization.

353633313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1608 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 46.

The spelling of 353633313664 in words is "three hundred fifty-three billion, six hundred thirty-three million, three hundred thirteen thousand, six hundred sixty-four".