245232893952 has 544 divisors, whose sum is σ = 773843184000. Its totient is φ = 77587808256.

The previous prime is 245232893921. The next prime is 245232893957. The reversal of 245232893952 is 259398232542.

It is a happy number.

245232893952 is a `hidden beast` number, since 2 + 4 + 523 + 2 + 89 + 39 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245232893957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4156489699 + ... + 4156489757.

Almost surely, 2^245232893952 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 245232893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386921592000).

245232893952 is an abundant number, since it is smaller than the sum of its proper divisors (528610290048).

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

245232893952 is an frugal number, since it uses more digits than its factorization.

245232893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 93 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 245232893952 in words is "two hundred forty-five billion, two hundred thirty-two million, eight hundred ninety-three thousand, nine hundred fifty-two".