245664641200 has 240 divisors, whose sum is σ = 655840523520. Its totient is φ = 87677568000.

The previous prime is 245664641179. The next prime is 245664641207. The reversal of 245664641200 is 2146466542.

It is a happy number.

It is a super-2 number, since 2×245664641200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (245664641207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195126171 + ... + 195127429.

It is an arithmetic number, because the mean of its divisors is an integer number (2732668848).

Almost surely, 2^245664641200 is an apocalyptic number.

245664641200 is a gapful number since it is divisible by the number (20) 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 245664641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327920261760).

245664641200 is an abundant number, since it is smaller than the sum of its proper divisors (410175882320).

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

245664641200 is a wasteful number, since it uses less digits than its factorization.

245664641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 245664641200 in words is "two hundred forty-five billion, six hundred sixty-four million, six hundred forty-one thousand, two hundred".