245655661049280 has 1120 divisors, whose sum is σ = 911322679703040. Its totient is φ = 62745198428160.

The previous prime is 245655661049273. The next prime is 245655661049291. The reversal of 245655661049280 is 82940166556542.

245655661049280 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 5 + 5 + 6 + 61 + 0 + 492 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31833047982 + ... + 31833055698.

Almost surely, 2^{245655661049280} is an apocalyptic number.

245655661049280 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 245655661049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455661339851520).

245655661049280 is an abundant number, since it is smaller than the sum of its proper divisors (665667018653760).

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

245655661049280 is a wasteful number, since it uses less digits than its factorization.

245655661049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8179 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 245655661049280 in words is "two hundred forty-five trillion, six hundred fifty-five billion, six hundred sixty-one million, forty-nine thousand, two hundred eighty".