355806418000 has 160 divisors (see below), whose sum is σ = 951775868160. Its totient is φ = 127561280000.

The previous prime is 355806417943. The next prime is 355806418007. The reversal of 355806418000 is 814608553.

It is a super-3 number, since 3×355806418000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355806418007) 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 31 ways as a sum of consecutive naturals, for example, 1448106 + ... + 1675894.

It is an arithmetic number, because the mean of its divisors is an integer number (5948599176).

Almost surely, 2^355806418000 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 355806418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475887934080).

355806418000 is an abundant number, since it is smaller than the sum of its proper divisors (595969450160).

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

355806418000 is a wasteful number, since it uses less digits than its factorization.

355806418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227894 (or 227878 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 355806418000 in words is "three hundred fifty-five billion, eight hundred six million, four hundred eighteen thousand".