245869677047808 has 1872 divisors, whose sum is σ = 846361199703040. Its totient is φ = 70406848512000.

The previous prime is 245869677047807. The next prime is 245869677047831. The reversal of 245869677047808 is 808740776968542.

245869677047808 is a `hidden beast` number, since 2 + 4 + 5 + 86 + 9 + 67 + 7 + 0 + 478 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245869677047807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1165259132823 + ... + 1165259133033.

Almost surely, 2^{245869677047808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245869677047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423180599851520).

245869677047808 is an abundant number, since it is smaller than the sum of its proper divisors (600491522655232).

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

245869677047808 is a wasteful number, since it uses less digits than its factorization.

245869677047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 9103933440, while the sum is 81.

The spelling of 245869677047808 in words is "two hundred forty-five trillion, eight hundred sixty-nine billion, six hundred seventy-seven million, forty-seven thousand, eight hundred eight".