225114198414 has 256 divisors, whose sum is σ = 570621542400. Its totient is φ = 57758690304.

The previous prime is 225114198383. The next prime is 225114198457. The reversal of 225114198414 is 414891411522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447542887 + ... + 447543389.

It is an arithmetic number, because the mean of its divisors is an integer number (2228990400).

Almost surely, 2^225114198414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225114198414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285310771200).

225114198414 is an abundant number, since it is smaller than the sum of its proper divisors (345507343986).

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

225114198414 is a wasteful number, since it uses less digits than its factorization.

225114198414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879.

The product of its digits is 92160, while the sum is 42.

The spelling of 225114198414 in words is "two hundred twenty-five billion, one hundred fourteen million, one hundred ninety-eight thousand, four hundred fourteen".