245653667732000 has 576 divisors, whose sum is σ = 667874321097984. Its totient is φ = 88065536000000.

The previous prime is 245653667731999. The next prime is 245653667732041. The reversal of 245653667732000 is 237766356542.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118045970960 + ... + 118045973040.

It is an arithmetic number, because the mean of its divisors is an integer number (1159504029684).

Almost surely, 2^{245653667732000} is an apocalyptic number.

245653667732000 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 245653667732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333937160548992).

245653667732000 is an abundant number, since it is smaller than the sum of its proper divisors (422220653365984).

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

245653667732000 is a wasteful number, since it uses less digits than its factorization.

245653667732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 56.

The spelling of 245653667732000 in words is "two hundred forty-five trillion, six hundred fifty-three billion, six hundred sixty-seven million, seven hundred thirty-two thousand".