355551145344 has 192 divisors, whose sum is σ = 1081506816000. Its totient is φ = 111807876096.

The previous prime is 355551145331. The next prime is 355551145349. The reversal of 355551145344 is 443541155553.

It is a happy number.

355551145344 is a `hidden beast` number, since 3 + 5 + 5 + 551 + 1 + 4 + 53 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 355551145344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355551145349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5197249 + ... + 5265215.

It is an arithmetic number, because the mean of its divisors is an integer number (5632848000).

Almost surely, 2^355551145344 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 355551145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540753408000).

355551145344 is an abundant number, since it is smaller than the sum of its proper divisors (725955670656).

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

355551145344 is a wasteful number, since it uses less digits than its factorization.

355551145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68245 (or 68230 counting only the distinct ones).

The product of its digits is 1800000, while the sum is 45.

The spelling of 355551145344 in words is "three hundred fifty-five billion, five hundred fifty-one million, one hundred forty-five thousand, three hundred forty-four".