355568984064 has 1344 divisors, whose sum is σ = 1373970124800. Its totient is φ = 89436192768.

The previous prime is 355568984011. The next prime is 355568984107. The reversal of 355568984064 is 460489865553.

It is a happy number.

355568984064 is a `hidden beast` number, since 3 + 5 + 5 + 568 + 9 + 8 + 4 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 355568983992 and 355568984010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4500873177 + ... + 4500873255.

It is an arithmetic number, because the mean of its divisors is an integer number (1022299200).

Almost surely, 2^355568984064 is an apocalyptic number.

355568984064 is a gapful number since it is divisible by the number (34) 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 355568984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686985062400).

355568984064 is an abundant number, since it is smaller than the sum of its proper divisors (1018401140736).

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

355568984064 is an equidigital number, since it uses as much as digits as its factorization.

355568984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 355568984064 in words is "three hundred fifty-five billion, five hundred sixty-eight million, nine hundred eighty-four thousand, sixty-four".