345514456056 has 256 divisors, whose sum is σ = 1140983055360. Its totient is φ = 84412661760.

The previous prime is 345514456051. The next prime is 345514456061. The reversal of 345514456056 is 650654415543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345514456051) and next prime (345514456061).

It is a junction number, because it is equal to n+sod(n) for n = 345514455996 and 345514456014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345514456051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82716240 + ... + 82720416.

It is an arithmetic number, because the mean of its divisors is an integer number (4456965060).

Almost surely, 2^345514456056 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 345514456056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570491527680).

345514456056 is an abundant number, since it is smaller than the sum of its proper divisors (795468599304).

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

345514456056 is a wasteful number, since it uses less digits than its factorization.

345514456056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 345514456056 in words is "three hundred forty-five billion, five hundred fourteen million, four hundred fifty-six thousand, fifty-six".