245273573664000 has 3456 divisors, whose sum is σ = 1123855554931200. Its totient is φ = 52371770572800.

The previous prime is 245273573663999. The next prime is 245273573664013. The reversal of 245273573664000 is 466375372542.

245273573664000 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 7 + 3 + 573 + 6 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58720029912 + ... + 58720034088.

Almost surely, 2^{245273573664000} is an apocalyptic number.

245273573664000 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 245273573664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561927777465600).

245273573664000 is an abundant number, since it is smaller than the sum of its proper divisors (878581981267200).

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

245273573664000 is a wasteful number, since it uses less digits than its factorization.

245273573664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 245273573664000 in words is "two hundred forty-five trillion, two hundred seventy-three billion, five hundred seventy-three million, six hundred sixty-four thousand".