225134315110400 has 408 divisors, whose sum is σ = 574094317591944. Its totient is φ = 87516669542400.

The previous prime is 225134315110351. The next prime is 225134315110427. The reversal of 225134315110400 is 4011513431522.

It can be written as a sum of positive squares in 12 ways, for example, as 17179869184 + 225117135241216 = 131072^2 + 15003904^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69895780790 + ... + 69895784010.

Almost surely, 2^{225134315110400} is an apocalyptic number.

225134315110400 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 225134315110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287047158795972).

225134315110400 is an abundant number, since it is smaller than the sum of its proper divisors (348960002481544).

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

225134315110400 is an equidigital number, since it uses as much as digits as its factorization.

225134315110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 225134315110400 its reverse (4011513431522), we get a palindrome (229145828541922).

The spelling of 225134315110400 in words is "two hundred twenty-five trillion, one hundred thirty-four billion, three hundred fifteen million, one hundred ten thousand, four hundred".