346631666015360 has 128 divisors (see below), whose sum is σ = 904072566965760. Its totient is φ = 126037708554240.

The previous prime is 346631666015359. The next prime is 346631666015407. The reversal of 346631666015360 is 63510666136643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 346631666015296 and 346631666015305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85548209 + ... + 89508431.

It is an arithmetic number, because the mean of its divisors is an integer number (7063066929420).

Almost surely, 2^{346631666015360} 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 346631666015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452036283482880).

346631666015360 is an abundant number, since it is smaller than the sum of its proper divisors (557440900950400).

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

346631666015360 is a wasteful number, since it uses less digits than its factorization.

346631666015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972686 (or 3972674 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 56.

The spelling of 346631666015360 in words is "three hundred forty-six trillion, six hundred thirty-one billion, six hundred sixty-six million, fifteen thousand, three hundred sixty".