245632008232800 has 1944 divisors, whose sum is σ = 1079724973600728. Its totient is φ = 54331322572800.

The previous prime is 245632008232799. The next prime is 245632008232843. The reversal of 245632008232800 is 8232800236542.

It is a happy number.

245632008232800 is a `hidden beast` number, since 2 + 4 + 5 + 632 + 0 + 0 + 8 + 2 + 3 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 9154088184 + ... + 9154115016.

Almost surely, 2^{245632008232800} is an apocalyptic number.

245632008232800 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 245632008232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539862486800364).

245632008232800 is an abundant number, since it is smaller than the sum of its proper divisors (834092965367928).

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

245632008232800 is a wasteful number, since it uses less digits than its factorization.

245632008232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26944 (or 26881 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 245632008232800 in words is "two hundred forty-five trillion, six hundred thirty-two billion, eight million, two hundred thirty-two thousand, eight hundred".