320226241626450 has 120 divisors (see below), whose sum is σ = 898392937261248. Its totient is φ = 84564599620320.

The previous prime is 320226241626413. The next prime is 320226241626457. The reversal of 320226241626450 is 54626142622023.

320226241626450 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 2 + 624 + 16 + 2 + 6 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 320226241626396 and 320226241626405.

It is not an unprimeable number, because it can be changed into a prime (320226241626457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 383409102 + ... + 384243401.

Almost surely, 2^{320226241626450} is an apocalyptic number.

320226241626450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320226241626450 is an abundant number, since it is smaller than the sum of its proper divisors (578166695634798).

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

320226241626450 is a wasteful number, since it uses less digits than its factorization.

320226241626450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767652630 (or 767652616 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 320226241626450 in words is "three hundred twenty trillion, two hundred twenty-six billion, two hundred forty-one million, six hundred twenty-six thousand, four hundred fifty".