354327324516 has 243 divisors, whose sum is σ = 1022894037529. Its totient is φ = 103336094400.

The previous prime is 354327324499. The next prime is 354327324529. The reversal of 354327324516 is 615423723453.

It is a happy number.

The square root of 354327324516 is 595254.

It is a perfect power (a square), and thus also a powerful number.

354327324516 is a `hidden beast` number, since 3 + 5 + 43 + 2 + 73 + 24 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 185800654116 + 168526670400 = 431046^2 + 410520^2 .

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 1139316001 + ... + 1139316311.

Almost surely, 2^354327324516 is an apocalyptic number.

354327324516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

354327324516 is the 595254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354327324516

354327324516 is an abundant number, since it is smaller than the sum of its proper divisors (668566713013).

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

354327324516 is a wasteful number, since it uses less digits than its factorization.

354327324516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 356 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 354327324516 in words is "three hundred fifty-four billion, three hundred twenty-seven million, three hundred twenty-four thousand, five hundred sixteen".