916224771200 has 72 divisors (see below), whose sum is σ = 2263495273515. Its totient is φ = 366468249600.

The previous prime is 916224771157. The next prime is 916224771229. The reversal of 916224771200 is 2177422619.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 533519219776 + 382705551424 = 730424^2 + 618632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=676840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54138740 + ... + 54155660.

Almost surely, 2^916224771200 is an apocalyptic number.

It is an amenable number.

916224771200 is an abundant number, since it is smaller than the sum of its proper divisors (1347270502315).

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

916224771200 is an frugal number, since it uses more digits than its factorization.

916224771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33866 (or 16928 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 916224771200 in words is "nine hundred sixteen billion, two hundred twenty-four million, seven hundred seventy-one thousand, two hundred".