256222390944 has 192 divisors, whose sum is σ = 728430845184. Its totient is φ = 78391812096.

The previous prime is 256222390939. The next prime is 256222390961. The reversal of 256222390944 is 449093222652.

It is a happy number.

It is a super-2 number, since 2×256222390944² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 256222390893 and 256222390902.

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, 311326917 + ... + 311327739.

It is an arithmetic number, because the mean of its divisors is an integer number (3793910652).

Almost surely, 2^256222390944 is an apocalyptic number.

256222390944 is a gapful number since it is divisible by the number (24) 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 256222390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364215422592).

256222390944 is an abundant number, since it is smaller than the sum of its proper divisors (472208454240).

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

256222390944 is a wasteful number, since it uses less digits than its factorization.

256222390944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 256222390944 in words is "two hundred fifty-six billion, two hundred twenty-two million, three hundred ninety thousand, nine hundred forty-four".