1226565110016 has 135 divisors (see below), whose sum is σ = 3657870825763. Its totient is φ = 408801876480.

The previous prime is 1226565109921. The next prime is 1226565110039. The reversal of 1226565110016 is 6100115656221.

The square root of 1226565110016 is 1107504.

It is a perfect power (a square), and thus also a powerful number.

1226565110016 is a `hidden beast` number, since 122 + 6 + 5 + 6 + 511 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 159476731 + ... + 159484421.

Almost surely, 2^{1226565110016} is an apocalyptic number.

1226565110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1226565110016 is the 1107504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226565110016

1226565110016 is an abundant number, since it is smaller than the sum of its proper divisors (2431305715747).

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

1226565110016 is an frugal number, since it uses more digits than its factorization.

1226565110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 1226565110016 by its sum of digits (36), we get a square (44156343960576 = 6645024²).

1226565110016 divided by its sum of digits (36) gives a square (34071253056 = 184584²).

The spelling of 1226565110016 in words is "one trillion, two hundred twenty-six billion, five hundred sixty-five million, one hundred ten thousand, sixteen".