226063523137536 has 1344 divisors, whose sum is σ = 823449370947840. Its totient is φ = 60541422796800.

The previous prime is 226063523137513. The next prime is 226063523137549. The reversal of 226063523137536 is 635731325360622.

226063523137536 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 6 + 3 + 5 + 231 + 375 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×226063523137536² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 45660171861 + ... + 45660176811.

It is an arithmetic number, because the mean of its divisors is an integer number (612685543860).

Almost surely, 2^{226063523137536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226063523137536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411724685473920).

226063523137536 is an abundant number, since it is smaller than the sum of its proper divisors (597385847810304).

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

226063523137536 is an equidigital number, since it uses as much as digits as its factorization.

226063523137536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 226063523137536 in words is "two hundred twenty-six trillion, sixty-three billion, five hundred twenty-three million, one hundred thirty-seven thousand, five hundred thirty-six".