245020743264 has 384 divisors, whose sum is σ = 739090759680. Its totient is φ = 70398720000.

The previous prime is 245020743259. The next prime is 245020743269. The reversal of 245020743264 is 462347020542.

245020743264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245020743259) and next prime (245020743269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245020743269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629873182 + ... + 629873570.

It is an arithmetic number, because the mean of its divisors is an integer number (1924715520).

Almost surely, 2^245020743264 is an apocalyptic number.

245020743264 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 245020743264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369545379840).

245020743264 is an abundant number, since it is smaller than the sum of its proper divisors (494070016416).

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

245020743264 is a wasteful number, since it uses less digits than its factorization.

245020743264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 245020743264 in words is "two hundred forty-five billion, twenty million, seven hundred forty-three thousand, two hundred sixty-four".