245704321446000 has 640 divisors, whose sum is σ = 803068468899840. Its totient is φ = 64626112512000.

The previous prime is 245704321445993. The next prime is 245704321446011. The reversal of 245704321446000 is 644123407542.

It is a happy number.

It is a super-2 number, since 2×245704321446000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78776632441 + ... + 78776635559.

It is an arithmetic number, because the mean of its divisors is an integer number (1254794482656).

Almost surely, 2^{245704321446000} is an apocalyptic number.

245704321446000 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 245704321446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401534234449920).

245704321446000 is an abundant number, since it is smaller than the sum of its proper divisors (557364147453840).

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

245704321446000 is a wasteful number, since it uses less digits than its factorization.

245704321446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 245704321446000 in words is "two hundred forty-five trillion, seven hundred four billion, three hundred twenty-one million, four hundred forty-six thousand".