345099550656 has 224 divisors, whose sum is σ = 1109216650752. Its totient is φ = 92437217280.

The previous prime is 345099550643. The next prime is 345099550669. The reversal of 345099550656 is 656055990543.

It is an interprime number because it is at equal distance from previous prime (345099550643) and next prime (345099550669).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×345099550656² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345099550596 and 345099550605.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5842551 + ... + 5901321.

It is an arithmetic number, because the mean of its divisors is an integer number (4951860048).

Almost surely, 2^345099550656 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 345099550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554608325376).

345099550656 is an abundant number, since it is smaller than the sum of its proper divisors (764117100096).

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

345099550656 is a wasteful number, since it uses less digits than its factorization.

345099550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59067 (or 59057 counting only the distinct ones).

The product of its (nonzero) digits is 21870000, while the sum is 57.

The spelling of 345099550656 in words is "three hundred forty-five billion, ninety-nine million, five hundred fifty thousand, six hundred fifty-six".