355438808064 has 528 divisors, whose sum is σ = 1086533516640. Its totient is φ = 111795240960.

The previous prime is 355438808063. The next prime is 355438808107. The reversal of 355438808064 is 460808834553.

355438808064 is a `hidden beast` number, since 3 + 55 + 438 + 80 + 80 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 355438808064.

It is not an unprimeable number, because it can be changed into a prime (355438808063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2713273279 + ... + 2713273409.

It is an arithmetic number, because the mean of its divisors is an integer number (2057828630).

Almost surely, 2^355438808064 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 355438808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543266758320).

355438808064 is an abundant number, since it is smaller than the sum of its proper divisors (731094708576).

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

355438808064 is a wasteful number, since it uses less digits than its factorization.

355438808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 355438808064 in words is "three hundred fifty-five billion, four hundred thirty-eight million, eight hundred eight thousand, sixty-four".