245918229120 has 320 divisors, whose sum is σ = 880057664640. Its totient is φ = 65440880640.

The previous prime is 245918229113. The next prime is 245918229197. The reversal of 245918229120 is 21922819542.

245918229120 is a `hidden beast` number, since 2 + 459 + 182 + 2 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26070805 + ... + 26080235.

It is an arithmetic number, because the mean of its divisors is an integer number (2750180202).

Almost surely, 2^245918229120 is an apocalyptic number.

245918229120 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 245918229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440028832320).

245918229120 is an abundant number, since it is smaller than the sum of its proper divisors (634139435520).

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

245918229120 is an equidigital number, since it uses as much as digits as its factorization.

245918229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 245918229120 in words is "two hundred forty-five billion, nine hundred eighteen million, two hundred twenty-nine thousand, one hundred twenty".