226500624000 has 640 divisors, whose sum is σ = 961443774720. Its totient is φ = 51769497600.

The previous prime is 226500623957. The next prime is 226500624047. The reversal of 226500624000 is 426005622.

226500624000 is a `hidden beast` number, since 2 + 2 + 650 + 0 + 6 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 9059517 + ... + 9084483.

It is an arithmetic number, because the mean of its divisors is an integer number (1502255898).

Almost surely, 2^226500624000 is an apocalyptic number.

226500624000 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 226500624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480721887360).

226500624000 is an abundant number, since it is smaller than the sum of its proper divisors (734943150720).

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

226500624000 is an equidigital number, since it uses as much as digits as its factorization.

226500624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25015 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 226500624000 its reverse (426005622), we get a palindrome (226926629622).

The spelling of 226500624000 in words is "two hundred twenty-six billion, five hundred million, six hundred twenty-four thousand".