225080623552 has 168 divisors, whose sum is σ = 486521607600. Its totient is φ = 103223808000.

The previous prime is 225080623459. The next prime is 225080623567. The reversal of 225080623552 is 255326080522.

225080623552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225080623552² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 214566324 + ... + 214567372.

It is an arithmetic number, because the mean of its divisors is an integer number (2895961950).

Almost surely, 2^225080623552 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 225080623552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243260803800).

225080623552 is an abundant number, since it is smaller than the sum of its proper divisors (261440984048).

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

225080623552 is a wasteful number, since it uses less digits than its factorization.

225080623552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 225080623552 in words is "two hundred twenty-five billion, eighty million, six hundred twenty-three thousand, five hundred fifty-two".