245974194087120 has 480 divisors, whose sum is σ = 860448207790080. Its totient is φ = 65303285322240.

The previous prime is 245974194087079. The next prime is 245974194087121. The reversal of 245974194087120 is 21780491479542.

245974194087120 is a `hidden beast` number, since 2 + 4 + 5 + 97 + 4 + 19 + 408 + 7 + 120 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245974194087121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7517762121 + ... + 7517794839.

It is an arithmetic number, because the mean of its divisors is an integer number (1792600432896).

Almost surely, 2^{245974194087120} is an apocalyptic number.

245974194087120 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 245974194087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430224103895040).

245974194087120 is an abundant number, since it is smaller than the sum of its proper divisors (614474013702960).

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

245974194087120 is a wasteful number, since it uses less digits than its factorization.

245974194087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34445 (or 34427 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 245974194087120 in words is "two hundred forty-five trillion, nine hundred seventy-four billion, one hundred ninety-four million, eighty-seven thousand, one hundred twenty".