245743648332 has 576 divisors, whose sum is σ = 783603072000. Its totient is φ = 58450968576.

The previous prime is 245743648273. The next prime is 245743648369. The reversal of 245743648332 is 233846347542.

It is a super-3 number, since 3×245743648332³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 696157468 + ... + 696157820.

It is an arithmetic number, because the mean of its divisors is an integer number (1360422000).

Almost surely, 2^245743648332 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 245743648332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391801536000).

245743648332 is an abundant number, since it is smaller than the sum of its proper divisors (537859423668).

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

245743648332 is a wasteful number, since it uses less digits than its factorization.

245743648332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 51.

The spelling of 245743648332 in words is "two hundred forty-five billion, seven hundred forty-three million, six hundred forty-eight thousand, three hundred thirty-two".