245852334000 has 2240 divisors, whose sum is σ = 1172167476480. Its totient is φ = 48372940800.

The previous prime is 245852333927. The next prime is 245852334001. The reversal of 245852334000 is 433258542.

245852334000 is a `hidden beast` number, since 2 + 4 + 585 + 2 + 33 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (245852334001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2255525946 + ... + 2255526054.

It is an arithmetic number, because the mean of its divisors is an integer number (523289052).

Almost surely, 2^245852334000 is an apocalyptic number.

245852334000 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 245852334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586083738240).

245852334000 is an abundant number, since it is smaller than the sum of its proper divisors (926315142480).

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

245852334000 is a wasteful number, since it uses less digits than its factorization.

245852334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 245852334000 in words is "two hundred forty-five billion, eight hundred fifty-two million, three hundred thirty-four thousand".