245974836602880 has 3456 divisors, whose sum is σ = 1135986960326400. Its totient is φ = 49417637068800.

The previous prime is 245974836602857. The next prime is 245974836602881. The reversal of 245974836602880 is 88206638479542.

245974836602880 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 7 + 4 + 8 + 3 + 6 + 602 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 245974836602799 and 245974836602808.

It is not an unprimeable number, because it can be changed into a prime (245974836602881) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 225045595614 + ... + 225045596706.

It is an arithmetic number, because the mean of its divisors is an integer number (328699930650).

Almost surely, 2^{245974836602880} is an apocalyptic number.

245974836602880 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 245974836602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567993480163200).

245974836602880 is an abundant number, since it is smaller than the sum of its proper divisors (890012123723520).

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

245974836602880 is a wasteful number, since it uses less digits than its factorization.

245974836602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 245974836602880 in words is "two hundred forty-five trillion, nine hundred seventy-four billion, eight hundred thirty-six million, six hundred two thousand, eight hundred eighty".