352920655521792 has 384 divisors, whose sum is σ = 1077994739203200. Its totient is φ = 114029903609856.

The previous prime is 352920655521677. The next prime is 352920655521799. The reversal of 352920655521792 is 297125556029253.

352920655521792 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 2 + 0 + 6 + 5 + 552 + 1 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (352920655521799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242521668 + ... + 243972540.

It is an arithmetic number, because the mean of its divisors is an integer number (2807277966675).

Almost surely, 2^{352920655521792} is an apocalyptic number.

352920655521792 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 352920655521792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538997369601600).

352920655521792 is an abundant number, since it is smaller than the sum of its proper divisors (725074083681408).

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

352920655521792 is a wasteful number, since it uses less digits than its factorization.

352920655521792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451040 (or 1451014 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 352920655521792 in words is "three hundred fifty-two trillion, nine hundred twenty billion, six hundred fifty-five million, five hundred twenty-one thousand, seven hundred ninety-two".