145211223456 has 144 divisors (see below), whose sum is σ = 444919555080. Its totient is φ = 44659261440.

The previous prime is 145211223439. The next prime is 145211223461. The reversal of 145211223456 is 654322112541.

145211223456 is a `hidden beast` number, since 1 + 4 + 521 + 122 + 3 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46175133456 + 99036090000 = 214884^2 + 314700^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145211223456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9131160 + ... + 9147048.

Almost surely, 2^145211223456 is an apocalyptic number.

145211223456 is a gapful number since it is divisible by the number (16) 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 145211223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222459777540).

145211223456 is an abundant number, since it is smaller than the sum of its proper divisors (299708331624).

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

145211223456 is a wasteful number, since it uses less digits than its factorization.

145211223456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18359 (or 18348 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 145211223456 its reverse (654322112541), we get a palindrome (799533335997).

The spelling of 145211223456 in words is "one hundred forty-five billion, two hundred eleven million, two hundred twenty-three thousand, four hundred fifty-six".