20228326144416 has 144 divisors (see below), whose sum is σ = 64243665761184. Its totient is φ = 6224100321024.

The previous prime is 20228326144409. The next prime is 20228326144519. The reversal of 20228326144416 is 61444162382202.

20228326144416 is a `hidden beast` number, since 2 + 0 + 2 + 28 + 3 + 2 + 614 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99951966 + ... + 100154141.

It is an arithmetic number, because the mean of its divisors is an integer number (446136567786).

Almost surely, 2^{20228326144416} is an apocalyptic number.

20228326144416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20228326144416 is an abundant number, since it is smaller than the sum of its proper divisors (44015339616768).

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

20228326144416 is a wasteful number, since it uses less digits than its factorization.

20228326144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200106145 (or 200106125 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 20228326144416 in words is "twenty trillion, two hundred twenty-eight billion, three hundred twenty-six million, one hundred forty-four thousand, four hundred sixteen".