245776864476000 has 1536 divisors, whose sum is σ = 963657101481984. Its totient is φ = 54427557888000.

The previous prime is 245776864475983. The next prime is 245776864476001. The reversal of 245776864476000 is 674468677542.

It is a super-2 number, since 2×245776864476000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245776864476001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20140685899 + ... + 20140698101.

It is an arithmetic number, because the mean of its divisors is an integer number (627380925444).

Almost surely, 2^{245776864476000} is an apocalyptic number.

245776864476000 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 245776864476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481828550740992).

245776864476000 is an abundant number, since it is smaller than the sum of its proper divisors (717880237005984).

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

245776864476000 is a wasteful number, since it uses less digits than its factorization.

245776864476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12374 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 66.

The spelling of 245776864476000 in words is "two hundred forty-five trillion, seven hundred seventy-six billion, eight hundred sixty-four million, four hundred seventy-six thousand".