346231613156256 has 576 divisors, whose sum is σ = 1023353818905600. Its totient is φ = 110965510656000.

The previous prime is 346231613156201. The next prime is 346231613156267. The reversal of 346231613156256 is 652651316132643.

346231613156256 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 3 + 1 + 6 + 1 + 3 + 1 + 5 + 625 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126778326411 + ... + 126778329141.

It is an arithmetic number, because the mean of its divisors is an integer number (1776655935600).

Almost surely, 2^{346231613156256} is an apocalyptic number.

346231613156256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346231613156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511676909452800).

346231613156256 is an abundant number, since it is smaller than the sum of its proper divisors (677122205749344).

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

346231613156256 is a wasteful number, since it uses less digits than its factorization.

346231613156256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3470 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

Adding to 346231613156256 its reverse (652651316132643), we get a palindrome (998882929288899).

The spelling of 346231613156256 in words is "three hundred forty-six trillion, two hundred thirty-one billion, six hundred thirteen million, one hundred fifty-six thousand, two hundred fifty-six".