355542335350512 has 480 divisors, whose sum is σ = 1026872129310720. Its totient is φ = 105759636111360.

The previous prime is 355542335350459. The next prime is 355542335350597. The reversal of 355542335350512 is 215053533245553.

It is a congruent number.

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, 15362834013 + ... + 15362857155.

It is an arithmetic number, because the mean of its divisors is an integer number (2139316936064).

Almost surely, 2^{355542335350512} 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 355542335350512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513436064655360).

355542335350512 is an abundant number, since it is smaller than the sum of its proper divisors (671329793960208).

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

355542335350512 is a wasteful number, since it uses less digits than its factorization.

355542335350512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23933 (or 23904 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 51.

The spelling of 355542335350512 in words is "three hundred fifty-five trillion, five hundred forty-two billion, three hundred thirty-five million, three hundred fifty thousand, five hundred twelve".