245115004032 has 192 divisors, whose sum is σ = 716898717600. Its totient is φ = 80370081792.

The previous prime is 245115004027. The next prime is 245115004037. The reversal of 245115004032 is 230400511542.

245115004032 is a `hidden beast` number, since 245 + 1 + 15 + 0 + 0 + 403 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (245115004027) and next prime (245115004037).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 245115003987 and 245115004005.

It is not an unprimeable number, because it can be changed into a prime (245115004037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66299208 + ... + 66302904.

Almost surely, 2^245115004032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245115004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358449358800).

245115004032 is an abundant number, since it is smaller than the sum of its proper divisors (471783713568).

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

245115004032 is a wasteful number, since it uses less digits than its factorization.

245115004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 245115004032 its reverse (230400511542), we get a palindrome (475515515574).

The spelling of 245115004032 in words is "two hundred forty-five billion, one hundred fifteen million, four thousand, thirty-two".