225465655222080 has 1344 divisors, whose sum is σ = 993593844891648. Its totient is φ = 47389506969600.

The previous prime is 225465655222037. The next prime is 225465655222133. The reversal of 225465655222080 is 80222556564522.

225465655222080 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 5 + 6 + 552 + 2 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1860969505 + ... + 1861090655.

It is an arithmetic number, because the mean of its divisors is an integer number (739281134592).

Almost surely, 2^{225465655222080} is an apocalyptic number.

225465655222080 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 225465655222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496796922445824).

225465655222080 is an abundant number, since it is smaller than the sum of its proper divisors (768128189669568).

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

225465655222080 is a wasteful number, since it uses less digits than its factorization.

225465655222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121466 (or 121444 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 225465655222080 in words is "two hundred twenty-five trillion, four hundred sixty-five billion, six hundred fifty-five million, two hundred twenty-two thousand, eighty".