225714455016100 has 144 divisors (see below), whose sum is σ = 519164858697408. Its totient is φ = 84884323368960.

The previous prime is 225714455016073. The next prime is 225714455016103. The reversal of 225714455016100 is 1610554417522.

It is a happy number.

It is a super-3 number, since 3×225714455016100³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (225714455016103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14745824647 + ... + 14745839953.

It is an arithmetic number, because the mean of its divisors is an integer number (3605311518732).

Almost surely, 2^{225714455016100} is an apocalyptic number.

225714455016100 is a gapful number since it is divisible by the number (20) 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 225714455016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259582429348704).

225714455016100 is an abundant number, since it is smaller than the sum of its proper divisors (293450403681308).

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

225714455016100 is a wasteful number, since it uses less digits than its factorization.

225714455016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24014 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 225714455016100 in words is "two hundred twenty-five trillion, seven hundred fourteen billion, four hundred fifty-five million, sixteen thousand, one hundred".