245752806998400 has 768 divisors, whose sum is σ = 893603055744000. Its totient is φ = 58976044646400.

The previous prime is 245752806998393. The next prime is 245752806998401. The reversal of 245752806998400 is 4899608257542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245752806998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7608665451 + ... + 7608697749.

It is an arithmetic number, because the mean of its divisors is an integer number (1163545645500).

Almost surely, 2^{245752806998400} is an apocalyptic number.

245752806998400 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 245752806998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446801527872000).

245752806998400 is an abundant number, since it is smaller than the sum of its proper divisors (647850248745600).

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

245752806998400 is a wasteful number, since it uses less digits than its factorization.

245752806998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33867 (or 33850 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 245752806998400 in words is "two hundred forty-five trillion, seven hundred fifty-two billion, eight hundred six million, nine hundred ninety-eight thousand, four hundred".