355212144413000 has 384 divisors, whose sum is σ = 974851158528000. Its totient is φ = 120793926153600.

The previous prime is 355212144412969. The next prime is 355212144413051. The reversal of 355212144413000 is 314441212553.

It is a super-2 number, since 2×355212144413000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 100370765231 + ... + 100370768769.

It is an arithmetic number, because the mean of its divisors is an integer number (2538674892000).

Almost surely, 2^{355212144413000} 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 355212144413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487425579264000).

355212144413000 is an abundant number, since it is smaller than the sum of its proper divisors (619639014115000).

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

355212144413000 is an frugal number, since it uses more digits than its factorization.

355212144413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 355212144413000 its reverse (314441212553), we get a palindrome (355526585625553).

The spelling of 355212144413000 in words is "three hundred fifty-five trillion, two hundred twelve billion, one hundred forty-four million, four hundred thirteen thousand".