223746319440 has 400 divisors, whose sum is σ = 893467314432. Its totient is φ = 50834055168.

The previous prime is 223746319427. The next prime is 223746319513. The reversal of 223746319440 is 44913647322.

223746319440 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 4 + 631 + 9 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7560352 + ... + 7589888.

Almost surely, 2^223746319440 is an apocalyptic number.

223746319440 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 223746319440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446733657216).

223746319440 is an abundant number, since it is smaller than the sum of its proper divisors (669720994992).

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

223746319440 is a wasteful number, since it uses less digits than its factorization.

223746319440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29736 (or 29721 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 223746319440 in words is "two hundred twenty-three billion, seven hundred forty-six million, three hundred nineteen thousand, four hundred forty".