355066097283072 has 1404 divisors, whose sum is σ = 1276587703324440. Its totient is φ = 94778858668032.

The previous prime is 355066097283019. The next prime is 355066097283109. The reversal of 355066097283072 is 270382790660553.

It is a happy number.

355066097283072 is a `hidden beast` number, since 3 + 5 + 506 + 6 + 0 + 9 + 7 + 28 + 30 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47602368879 + ... + 47602376337.

Almost surely, 2^{355066097283072} is an apocalyptic number.

355066097283072 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 355066097283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638293851662220).

355066097283072 is an abundant number, since it is smaller than the sum of its proper divisors (921521606041368).

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

355066097283072 is a wasteful number, since it uses less digits than its factorization.

355066097283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 355066097283072 in words is "three hundred fifty-five trillion, sixty-six billion, ninety-seven million, two hundred eighty-three thousand, seventy-two".