223507264464 has 400 divisors, whose sum is σ = 729583303680. Its totient is φ = 65473470720.

The previous prime is 223507264457. The next prime is 223507264469. The reversal of 223507264464 is 464462705322.

223507264464 is a `hidden beast` number, since 2 + 23 + 507 + 2 + 64 + 4 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223507264469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55610647 + ... + 55614665.

Almost surely, 2^223507264464 is an apocalyptic number.

223507264464 is a gapful number since it is divisible by the number (24) 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 223507264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364791651840).

223507264464 is an abundant number, since it is smaller than the sum of its proper divisors (506076039216).

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

223507264464 is a wasteful number, since it uses less digits than its factorization.

223507264464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 223507264464 its reverse (464462705322), we get a palindrome (687969969786).

The spelling of 223507264464 in words is "two hundred twenty-three billion, five hundred seven million, two hundred sixty-four thousand, four hundred sixty-four".