225396873504 has 192 divisors, whose sum is σ = 736556042880. Its totient is φ = 66455976960.

The previous prime is 225396873451. The next prime is 225396873509. The reversal of 225396873504 is 405378693522.

225396873504 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 9 + 68 + 73 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225396873509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31162 + ... + 672134.

It is an arithmetic number, because the mean of its divisors is an integer number (3836229390).

Almost surely, 2^225396873504 is an apocalyptic number.

225396873504 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 225396873504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368278021440).

225396873504 is an abundant number, since it is smaller than the sum of its proper divisors (511159169376).

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

225396873504 is a wasteful number, since it uses less digits than its factorization.

225396873504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641040 (or 641026 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 225396873504 in words is "two hundred twenty-five billion, three hundred ninety-six million, eight hundred seventy-three thousand, five hundred four".