245405842176768 has 2304 divisors, whose sum is σ = 912311997972480. Its totient is φ = 56664325619712.

The previous prime is 245405842176757. The next prime is 245405842176799. The reversal of 245405842176768 is 867671248504542.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 425313417696 + ... + 425313418272.

It is an arithmetic number, because the mean of its divisors is an integer number (395968749120).

Almost surely, 2^{245405842176768} is an apocalyptic number.

245405842176768 is a gapful number since it is divisible by the number (28) 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 245405842176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456155998986240).

245405842176768 is an abundant number, since it is smaller than the sum of its proper divisors (666906155795712).

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

245405842176768 is a wasteful number, since it uses less digits than its factorization.

245405842176768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 69.

The spelling of 245405842176768 in words is "two hundred forty-five trillion, four hundred five billion, eight hundred forty-two million, one hundred seventy-six thousand, seven hundred sixty-eight".