332223233144400 has 720 divisors, whose sum is σ = 1282694979333040. Its totient is φ = 79567739596800.

The previous prime is 332223233144389. The next prime is 332223233144423. The reversal of 332223233144400 is 4441332322233.

332223233144400 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 2 + 3 + 233 + 14 + 4 + 400 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 327891406803984 + 4331826340416 = 18107772^2 + 2081304^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×332223233144400² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292072770 + ... + 293208030.

Almost surely, 2^{332223233144400} is an apocalyptic number.

332223233144400 is a gapful number since it is divisible by the number (30) 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 332223233144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641347489666520).

332223233144400 is an abundant number, since it is smaller than the sum of its proper divisors (950471746188640).

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

332223233144400 is a wasteful number, since it uses less digits than its factorization.

332223233144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135361 (or 1135321 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 332223233144400 its reverse (4441332322233), we get a palindrome (336664565466633).

The spelling of 332223233144400 in words is "three hundred thirty-two trillion, two hundred twenty-three billion, two hundred thirty-three million, one hundred forty-four thousand, four hundred".