225064140000 has 480 divisors, whose sum is σ = 847167019776. Its totient is φ = 51233280000.

The previous prime is 225064139953. The next prime is 225064140001. The reversal of 225064140000 is 41460522.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×225064140000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225064140001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118019047 + ... + 118020953.

Almost surely, 2^225064140000 is an apocalyptic number.

225064140000 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 225064140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423583509888).

225064140000 is an abundant number, since it is smaller than the sum of its proper divisors (622102879776).

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

225064140000 is a wasteful number, since it uses less digits than its factorization.

225064140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 225064140000 in words is "two hundred twenty-five billion, sixty-four million, one hundred forty thousand".