346679230464 has 270 divisors, whose sum is σ = 1165019609754. Its totient is φ = 99049144320.

The previous prime is 346679230427. The next prime is 346679230481. The reversal of 346679230464 is 464032976643.

346679230464 is a `hidden beast` number, since 3 + 4 + 6 + 67 + 92 + 30 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 260834918400 + 85844312064 = 510720^2 + 292992^2 .

It is a super-2 number, since 2×346679230464² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346679230464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7201354 + ... + 7249334.

Almost surely, 2^346679230464 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 346679230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582509804877).

346679230464 is an abundant number, since it is smaller than the sum of its proper divisors (818340379290).

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

346679230464 is an equidigital number, since it uses as much as digits as its factorization.

346679230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48029 (or 47993 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 346679230464 in words is "three hundred forty-six billion, six hundred seventy-nine million, two hundred thirty thousand, four hundred sixty-four".