225148370688 has 288 divisors, whose sum is σ = 678110899200. Its totient is φ = 73672187904.

The previous prime is 225148370687. The next prime is 225148370701. The reversal of 225148370688 is 886073841522.

225148370688 is a `hidden beast` number, since 225 + 1 + 48 + 370 + 6 + 8 + 8 = 666.

225148370688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×225148370688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225148370687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120592731 + ... + 120594597.

Almost surely, 2^225148370688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225148370688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339055449600).

225148370688 is an abundant number, since it is smaller than the sum of its proper divisors (452962528512).

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

225148370688 is a wasteful number, since it uses less digits than its factorization.

225148370688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 225148370688 in words is "two hundred twenty-five billion, one hundred forty-eight million, three hundred seventy thousand, six hundred eighty-eight".