350153543223100 has 144 divisors (see below), whose sum is σ = 783854086377600. Its totient is φ = 135667528888320.

The previous prime is 350153543223091. The next prime is 350153543223161. The reversal of 350153543223100 is 1322345351053.

It is a super-2 number, since 2×350153543223100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 350153543223100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16770598461 + ... + 16770619339.

It is an arithmetic number, because the mean of its divisors is an integer number (5443431155400).

Almost surely, 2^{350153543223100} 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 350153543223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391927043188800).

350153543223100 is an abundant number, since it is smaller than the sum of its proper divisors (433700543154500).

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

350153543223100 is a wasteful number, since it uses less digits than its factorization.

350153543223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40952 (or 40945 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

Adding to 350153543223100 its reverse (1322345351053), we get a palindrome (351475888574153).

The spelling of 350153543223100 in words is "three hundred fifty trillion, one hundred fifty-three billion, five hundred forty-three million, two hundred twenty-three thousand, one hundred".