226552010014464 has 288 divisors, whose sum is σ = 620586256449600. Its totient is φ = 73338981580800.

The previous prime is 226552010014453. The next prime is 226552010014471. The reversal of 226552010014464 is 464410010255622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27005837982 + ... + 27005846370.

It is an arithmetic number, because the mean of its divisors is an integer number (2154813390450).

Almost surely, 2^{226552010014464} is an apocalyptic number.

226552010014464 is a gapful number since it is divisible by the number (24) 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 226552010014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310293128224800).

226552010014464 is an abundant number, since it is smaller than the sum of its proper divisors (394034246435136).

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

226552010014464 is a wasteful number, since it uses less digits than its factorization.

226552010014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 226552010014464 in words is "two hundred twenty-six trillion, five hundred fifty-two billion, ten million, fourteen thousand, four hundred sixty-four".