355222252000 has 768 divisors, whose sum is σ = 1158678743040. Its totient is φ = 103680000000.

The previous prime is 355222251991. The next prime is 355222252003. The reversal of 355222252000 is 252222553.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 355222252000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355222252003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 591051700 + ... + 591052300.

It is an arithmetic number, because the mean of its divisors is an integer number (1508696280).

Almost surely, 2^355222252000 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 355222252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579339371520).

355222252000 is an abundant number, since it is smaller than the sum of its proper divisors (803456491040).

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

355222252000 is a wasteful number, since it uses less digits than its factorization.

355222252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

Adding to 355222252000 its reverse (252222553), we get a palindrome (355474474553).

The spelling of 355222252000 in words is "three hundred fifty-five billion, two hundred twenty-two million, two hundred fifty-two thousand".