226131351505920 has 528 divisors, whose sum is σ = 928639139920128. Its totient is φ = 51687164067840.

The previous prime is 226131351505867. The next prime is 226131351505967. The reversal of 226131351505920 is 29505153131622.

226131351505920 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 3 + 1 + 3 + 5 + 1 + 50 + 592 + 0 = 666.

It is a super-2 number, since 2×226131351505920² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4273326 + ... + 21691565.

Almost surely, 2^{226131351505920} is an apocalyptic number.

226131351505920 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 226131351505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464319569960064).

226131351505920 is an abundant number, since it is smaller than the sum of its proper divisors (702507788414208).

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

226131351505920 is an equidigital number, since it uses as much as digits as its factorization.

226131351505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25964938 (or 25964908 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 226131351505920 in words is "two hundred twenty-six trillion, one hundred thirty-one billion, three hundred fifty-one million, five hundred five thousand, nine hundred twenty".