245201664 has 72 divisors (see below), whose sum is σ = 670309360. Its totient is φ = 79515648.

The previous prime is 245201653. The next prime is 245201681. The reversal of 245201664 is 466102542.

245201664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24102 + ... + 32730.

Almost surely, 2^245201664 is an apocalyptic number.

245201664 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 245201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335154680).

245201664 is an abundant number, since it is smaller than the sum of its proper divisors (425107696).

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

245201664 is an equidigital number, since it uses as much as digits as its factorization.

245201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8685 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 245201664 is about 15658.9164376083. The cubic root of 245201664 is about 625.9041114480.

The spelling of 245201664 in words is "two hundred forty-five million, two hundred one thousand, six hundred sixty-four".