223461437040 has 320 divisors, whose sum is σ = 775863734400. Its totient is φ = 59114520576.

The previous prime is 223461437027. The next prime is 223461437041. The reversal of 223461437040 is 40734164322.

223461437040 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 614 + 37 + 0 + 4 + 0 = 666.

223461437040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 223461436986 and 223461437004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223461437041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240539296 + ... + 240540224.

It is an arithmetic number, because the mean of its divisors is an integer number (2424574170).

Almost surely, 2^223461437040 is an apocalyptic number.

223461437040 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 223461437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387931867200).

223461437040 is an abundant number, since it is smaller than the sum of its proper divisors (552402297360).

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

223461437040 is a wasteful number, since it uses less digits than its factorization.

223461437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 223461437040 in words is "two hundred twenty-three billion, four hundred sixty-one million, four hundred thirty-seven thousand, forty".