2226415660311 has 16 divisors (see below), whose sum is σ = 2973906319104. Its totient is φ = 1481601558144.

The previous prime is 2226415660283. The next prime is 2226415660331. The reversal of 2226415660311 is 1130665146222.

It is not a de Polignac number, because 2226415660311 - 2²² = 2226411466007 is a prime.

It is a super-2 number, since 2×2226415660311² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2226415660311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226415660331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19414206 + ... + 19528548.

It is an arithmetic number, because the mean of its divisors is an integer number (185869144944).

Almost surely, 2^{2226415660311} is an apocalyptic number.

2226415660311 is a deficient number, since it is larger than the sum of its proper divisors (747490658793).

2226415660311 is a wasteful number, since it uses less digits than its factorization.

2226415660311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125990.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 2226415660311 in words is "two trillion, two hundred twenty-six billion, four hundred fifteen million, six hundred sixty thousand, three hundred eleven".