245561140224 has 264 divisors, whose sum is σ = 734330757888. Its totient is φ = 78953103360.

The previous prime is 245561140211. The next prime is 245561140249. The reversal of 245561140224 is 422041165542.

245561140224 is a `hidden beast` number, since 2 + 455 + 61 + 140 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×245561140224² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99135274 + ... + 99137750.

Almost surely, 2^245561140224 is an apocalyptic number.

245561140224 is a gapful number since it is divisible by the number (24) 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 245561140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367165378944).

245561140224 is an abundant number, since it is smaller than the sum of its proper divisors (488769617664).

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

245561140224 is a wasteful number, since it uses less digits than its factorization.

245561140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 245561140224 in words is "two hundred forty-five billion, five hundred sixty-one million, one hundred forty thousand, two hundred twenty-four".