346631363664 has 160 divisors (see below), whose sum is σ = 927768619008. Its totient is φ = 111446400000.

The previous prime is 346631363627. The next prime is 346631363671. The reversal of 346631363664 is 466363136643.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72957289 + ... + 72962039.

Almost surely, 2^346631363664 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 346631363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463884309504).

346631363664 is an abundant number, since it is smaller than the sum of its proper divisors (581137255344).

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

346631363664 is a wasteful number, since it uses less digits than its factorization.

346631363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5211 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 51.

The spelling of 346631363664 in words is "three hundred forty-six billion, six hundred thirty-one million, three hundred sixty-three thousand, six hundred sixty-four".