225432146940 has 960 divisors, whose sum is σ = 895539843072. Its totient is φ = 41726361600.

The previous prime is 225432146911. The next prime is 225432146969. The reversal of 225432146940 is 49641234522.

It is an interprime number because it is at equal distance from previous prime (225432146911) and next prime (225432146969).

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

It is a junction number, because it is equal to n+sod(n) for n = 225432146892 and 225432146901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 638617804 + ... + 638618156.

Almost surely, 2^225432146940 is an apocalyptic number.

225432146940 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 225432146940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447769921536).

225432146940 is an abundant number, since it is smaller than the sum of its proper divisors (670107696132).

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

225432146940 is a wasteful number, since it uses less digits than its factorization.

225432146940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 225432146940 in words is "two hundred twenty-five billion, four hundred thirty-two million, one hundred forty-six thousand, nine hundred forty".