346221030456 has 256 divisors, whose sum is σ = 1164533760000. Its totient is φ = 93040220160.

The previous prime is 346221030437. The next prime is 346221030487. The reversal of 346221030456 is 654030122643.

346221030456 is a `hidden beast` number, since 34 + 62 + 210 + 304 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 346221030456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50093641 + ... + 50100551.

It is an arithmetic number, because the mean of its divisors is an integer number (4548960000).

Almost surely, 2^346221030456 is an apocalyptic number.

346221030456 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 346221030456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582266880000).

346221030456 is an abundant number, since it is smaller than the sum of its proper divisors (818312729544).

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

346221030456 is a wasteful number, since it uses less digits than its factorization.

346221030456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8899 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 346221030456 in words is "three hundred forty-six billion, two hundred twenty-one million, thirty thousand, four hundred fifty-six".