346527205420716 has 48 divisors (see below), whose sum is σ = 913131798150880. Its totient is φ = 113615477184960.

The previous prime is 346527205420687. The next prime is 346527205420717. The reversal of 346527205420716 is 617024502725643.

346527205420716 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 2 + 7 + 20 + 542 + 0 + 71 + 6 = 666.

It is a super-3 number, since 3×346527205420716³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (346527205420717) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26299872391 + ... + 26299885566.

Almost surely, 2^{346527205420716} is an apocalyptic number.

346527205420716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

346527205420716 is an abundant number, since it is smaller than the sum of its proper divisors (566604592730164).

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

346527205420716 is a wasteful number, since it uses less digits than its factorization.

346527205420716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52599758031 (or 52599758023 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 346527205420716 in words is "three hundred forty-six trillion, five hundred twenty-seven billion, two hundred five million, four hundred twenty thousand, seven hundred sixteen".