245001729024 has 1056 divisors, whose sum is σ = 856218504960. Its totient is φ = 69370380288.

The previous prime is 245001728977. The next prime is 245001729031. The reversal of 245001729024 is 420927100542.

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

It is a self number, because there is not a number n which added to its sum of digits gives 245001729024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2752828372 + ... + 2752828460.

Almost surely, 2^245001729024 is an apocalyptic number.

245001729024 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 245001729024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428109252480).

245001729024 is an abundant number, since it is smaller than the sum of its proper divisors (611216775936).

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

245001729024 is a wasteful number, since it uses less digits than its factorization.

245001729024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 245001729024 its reverse (420927100542), we get a palindrome (665928829566).

The spelling of 245001729024 in words is "two hundred forty-five billion, one million, seven hundred twenty-nine thousand, twenty-four".