225069736371984 has 120 divisors (see below), whose sum is σ = 726593621906880. Its totient is φ = 63704651652864.

The previous prime is 225069736371923. The next prime is 225069736372007. The reversal of 225069736371984 is 489173637960522.

It is a happy number.

225069736371984 is a `hidden beast` number, since 2 + 2 + 50 + 6 + 97 + 36 + 371 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043272839 + ... + 1043488550.

It is an arithmetic number, because the mean of its divisors is an integer number (6054946849224).

It is a 2-persistent number, because it is pandigital, and so is 2⋅225069736371984 = 450139472743968, but 3⋅225069736371984 = 675209209115952 is not.

Almost surely, 2^{225069736371984} is an apocalyptic number.

225069736371984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225069736371984 is an abundant number, since it is smaller than the sum of its proper divisors (501523885534896).

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

225069736371984 is a wasteful number, since it uses less digits than its factorization.

225069736371984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086761517 (or 2086761508 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 225069736371984 in words is "two hundred twenty-five trillion, sixty-nine billion, seven hundred thirty-six million, three hundred seventy-one thousand, nine hundred eighty-four".