223150118400 has 480 divisors, whose sum is σ = 893545488000. Its totient is φ = 54096076800.

The previous prime is 223150118377. The next prime is 223150118407. The reversal of 223150118400 is 4811051322.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×223150118400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223150118407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3772251 + ... + 3830949.

It is an arithmetic number, because the mean of its divisors is an integer number (1861553100).

Almost surely, 2^223150118400 is an apocalyptic number.

223150118400 is a gapful number since it is divisible by the number (20) 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 223150118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446772744000).

223150118400 is an abundant number, since it is smaller than the sum of its proper divisors (670395369600).

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

223150118400 is a wasteful number, since it uses less digits than its factorization.

223150118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58747 (or 58720 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 223150118400 its reverse (4811051322), we get a palindrome (227961169722).

The spelling of 223150118400 in words is "two hundred twenty-three billion, one hundred fifty million, one hundred eighteen thousand, four hundred".