245988241132032 has 1440 divisors, whose sum is σ = 874765806190848. Its totient is φ = 66219179507712.

The previous prime is 245988241132019. The next prime is 245988241132079. The reversal of 245988241132032 is 230231142889542.

It is a happy number.

245988241132032 is a `hidden beast` number, since 2 + 4 + 5 + 98 + 82 + 411 + 32 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245988241132032.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101522178373 + ... + 101522180795.

Almost surely, 2^{245988241132032} 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 245988241132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437382903095424).

245988241132032 is an abundant number, since it is smaller than the sum of its proper divisors (628777565058816).

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

245988241132032 is a wasteful number, since it uses less digits than its factorization.

245988241132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 245988241132032 in words is "two hundred forty-five trillion, nine hundred eighty-eight billion, two hundred forty-one million, one hundred thirty-two thousand, thirty-two".