355005101405332 has 48 divisors (see below), whose sum is σ = 712258112926080. Its totient is φ = 151663359399552.

The previous prime is 355005101405293. The next prime is 355005101405369. The reversal of 355005101405332 is 233504101500553.

It is a super-3 number, since 3×355005101405332³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 355005101405291 and 355005101405300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049089419 + ... + 1049427757.

It is an arithmetic number, because the mean of its divisors is an integer number (14838710685960).

Almost surely, 2^{355005101405332} is an apocalyptic number.

It is an amenable number.

355005101405332 is an abundant number, since it is smaller than the sum of its proper divisors (357253011520748).

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

355005101405332 is a wasteful number, since it uses less digits than its factorization.

355005101405332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456880 (or 456878 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

Adding to 355005101405332 its reverse (233504101500553), we get a palindrome (588509202905885).

The spelling of 355005101405332 in words is "three hundred fifty-five trillion, five billion, one hundred one million, four hundred five thousand, three hundred thirty-two".