225303591614400 has 840 divisors, whose sum is σ = 892580686961040. Its totient is φ = 55414773596160.

The previous prime is 225303591614359. The next prime is 225303591614471. The reversal of 225303591614400 is 4416195303522.

225303591614400 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 0 + 3 + 591 + 6 + 14 + 40 + 0 = 666.

225303591614400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2121110092 + ... + 2121216308.

It is an arithmetic number, because the mean of its divisors is an integer number (1062596055906).

Almost surely, 2^{225303591614400} is an apocalyptic number.

225303591614400 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 225303591614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446290343480520).

225303591614400 is an abundant number, since it is smaller than the sum of its proper divisors (667277095346640).

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

225303591614400 is a wasteful number, since it uses less digits than its factorization.

225303591614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107523 (or 107499 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 225303591614400 in words is "two hundred twenty-five trillion, three hundred three billion, five hundred ninety-one million, six hundred fourteen thousand, four hundred".