354218145820 has 96 divisors (see below), whose sum is σ = 928174464000. Its totient is φ = 110314352640.

The previous prime is 354218145739. The next prime is 354218145821. The reversal of 354218145820 is 28541812453.

It is a super-3 number, since 3×354218145820³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354218145821) 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, 1779681 + ... + 1968679.

It is an arithmetic number, because the mean of its divisors is an integer number (9668484000).

Almost surely, 2^354218145820 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 354218145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464087232000).

354218145820 is an abundant number, since it is smaller than the sum of its proper divisors (573956318180).

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

354218145820 is a wasteful number, since it uses less digits than its factorization.

354218145820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190243 (or 190241 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 354218145820 in words is "three hundred fifty-four billion, two hundred eighteen million, one hundred forty-five thousand, eight hundred twenty".