355980221743104 has 1008 divisors, whose sum is σ = 1291743379741248. Its totient is φ = 95722716266496.

The previous prime is 355980221743033. The next prime is 355980221743127. The reversal of 355980221743104 is 401347122089553.

355980221743104 is a `hidden beast` number, since 3 + 5 + 598 + 0 + 2 + 2 + 1 + 7 + 43 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11370611419 + ... + 11370642725.

It is an arithmetic number, because the mean of its divisors is an integer number (1281491448156).

Almost surely, 2^{355980221743104} is an apocalyptic number.

355980221743104 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 355980221743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645871689870624).

355980221743104 is an abundant number, since it is smaller than the sum of its proper divisors (935763157998144).

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

355980221743104 is an frugal number, since it uses more digits than its factorization.

355980221743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31383 (or 31336 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 355980221743104 in words is "three hundred fifty-five trillion, nine hundred eighty billion, two hundred twenty-one million, seven hundred forty-three thousand, one hundred four".