354433155114324 has 288 divisors, whose sum is σ = 1040668913870208. Its totient is φ = 92938475520000.

The previous prime is 354433155114317. The next prime is 354433155114349. The reversal of 354433155114324 is 423411551334453.

It is a super-2 number, since 2×354433155114324² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78343644 + ... + 82744140.

It is an arithmetic number, because the mean of its divisors is an integer number (3613433728716).

Almost surely, 2^{354433155114324} is an apocalyptic number.

354433155114324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354433155114324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520334456935104).

354433155114324 is an abundant number, since it is smaller than the sum of its proper divisors (686235758755884).

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

354433155114324 is a wasteful number, since it uses less digits than its factorization.

354433155114324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400807 (or 4400794 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 48.

The spelling of 354433155114324 in words is "three hundred fifty-four trillion, four hundred thirty-three billion, one hundred fifty-five million, one hundred fourteen thousand, three hundred twenty-four".