355522654166240 has 576 divisors, whose sum is σ = 995902347718656. Its totient is φ = 119494628352000.

The previous prime is 355522654166233. The next prime is 355522654166243. The reversal of 355522654166240 is 42661456225553.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355522654166243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9538324244 + ... + 9538361516.

It is an arithmetic number, because the mean of its divisors is an integer number (1728997131456).

Almost surely, 2^{355522654166240} 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 355522654166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497951173859328).

355522654166240 is an abundant number, since it is smaller than the sum of its proper divisors (640379693552416).

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

355522654166240 is a wasteful number, since it uses less digits than its factorization.

355522654166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38055 (or 38036 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 56.

The spelling of 355522654166240 in words is "three hundred fifty-five trillion, five hundred twenty-two billion, six hundred fifty-four million, one hundred sixty-six thousand, two hundred forty".