225057771456 has 168 divisors, whose sum is σ = 693621174096. Its totient is φ = 64215244800.

The previous prime is 225057771401. The next prime is 225057771527. The reversal of 225057771456 is 654177750522.

225057771456 is digitally balanced in base 2, 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 (168).

It is a super-2 number, since 2×225057771456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225057771399 and 225057771408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7106056 + ... + 7137656.

Almost surely, 2^225057771456 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 225057771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346810587048).

225057771456 is an abundant number, since it is smaller than the sum of its proper divisors (468563402640).

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

225057771456 is a wasteful number, since it uses less digits than its factorization.

225057771456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32387 (or 32370 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 51.

The spelling of 225057771456 in words is "two hundred twenty-five billion, fifty-seven million, seven hundred seventy-one thousand, four hundred fifty-six".