245505225456 has 160 divisors (see below), whose sum is σ = 708354662400. Its totient is φ = 81410814720.

The previous prime is 245505225443. The next prime is 245505225457. The reversal of 245505225456 is 654522505542.

245505225456 is a `hidden beast` number, since 2 + 4 + 5 + 50 + 52 + 2 + 545 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245505225457) 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, 73087105 + ... + 73090463.

It is an arithmetic number, because the mean of its divisors is an integer number (4427216640).

Almost surely, 2^245505225456 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 245505225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354177331200).

245505225456 is an abundant number, since it is smaller than the sum of its proper divisors (462849436944).

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

245505225456 is a wasteful number, since it uses less digits than its factorization.

245505225456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 245505225456 in words is "two hundred forty-five billion, five hundred five million, two hundred twenty-five thousand, four hundred fifty-six".