245223866880 has 640 divisors, whose sum is σ = 893488527360. Its totient is φ = 63732695040.

The previous prime is 245223866879. The next prime is 245223866929. The reversal of 245223866880 is 88668322542.

It is a happy number.

245223866880 is a `hidden beast` number, since 2 + 4 + 522 + 38 + 6 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525104407 + ... + 525104873.

It is an arithmetic number, because the mean of its divisors is an integer number (1396075824).

Almost surely, 2^245223866880 is an apocalyptic number.

245223866880 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 245223866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446744263680).

245223866880 is an abundant number, since it is smaller than the sum of its proper divisors (648264660480).

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

245223866880 is a wasteful number, since it uses less digits than its factorization.

245223866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 245223866880 in words is "two hundred forty-five billion, two hundred twenty-three million, eight hundred sixty-six thousand, eight hundred eighty".