226155010177647 has 48 divisors (see below), whose sum is σ = 339030212556672. Its totient is φ = 150652971960480.

The previous prime is 226155010177627. The next prime is 226155010177739. The reversal of 226155010177647 is 746771010551622.

226155010177647 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 501 + 0 + 1 + 77 + 64 + 7 = 666.

It is not a de Polignac number, because 226155010177647 - 2¹⁸ = 226155009915503 is a prime.

It is a super-2 number, since 2×226155010177647² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226155010177593 and 226155010177602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226155010177627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582017588 + ... + 2582105174.

It is an arithmetic number, because the mean of its divisors is an integer number (7063129428264).

Almost surely, 2^{226155010177647} is an apocalyptic number.

226155010177647 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

226155010177647 is a deficient number, since it is larger than the sum of its proper divisors (112875202379025).

226155010177647 is an equidigital number, since it uses as much as digits as its factorization.

226155010177647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95730 (or 95718 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 226155010177647 in words is "two hundred twenty-six trillion, one hundred fifty-five billion, ten million, one hundred seventy-seven thousand, six hundred forty-seven".