245488200249600 has 9072 divisors, whose sum is σ = 1236969484886016. Its totient is φ = 47593598976000.

The previous prime is 245488200249547. The next prime is 245488200249613. The reversal of 245488200249600 is 6942002884542.

245488200249600 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 8 + 8 + 2 + 0 + 0 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (9072).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 3664002988767 + ... + 3664002988833.

Almost surely, 2^{245488200249600} is an apocalyptic number.

245488200249600 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 245488200249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618484742443008).

245488200249600 is an abundant number, since it is smaller than the sum of its proper divisors (991481284636416).

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

245488200249600 is a wasteful number, since it uses less digits than its factorization.

245488200249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

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

The spelling of 245488200249600 in words is "two hundred forty-five trillion, four hundred eighty-eight billion, two hundred million, two hundred forty-nine thousand, six hundred".