305413224322656 has 96 divisors (see below), whose sum is σ = 805910996566368. Its totient is φ = 101271080816640.

The previous prime is 305413224322567. The next prime is 305413224322667. The reversal of 305413224322656 is 656223422314503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 114670716 + ... + 117303876.

It is an arithmetic number, because the mean of its divisors is an integer number (8394906214233).

Almost surely, 2^{305413224322656} 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 305413224322656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402955498283184).

305413224322656 is an abundant number, since it is smaller than the sum of its proper divisors (500497772243712).

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

305413224322656 is a wasteful number, since it uses less digits than its factorization.

305413224322656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639504 (or 2639496 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 305413224322656 in words is "three hundred five trillion, four hundred thirteen billion, two hundred twenty-four million, three hundred twenty-two thousand, six hundred fifty-six".