10289768433364 has 24 divisors (see below), whose sum is σ = 20579630944320. Its totient is φ = 4409880597696.

The previous prime is 10289768433341. The next prime is 10289768433383. The reversal of 10289768433364 is 46333486798201.

It is a junction number, because it is equal to n+sod(n) for n = 10289768433296 and 10289768433305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6528384 + ... + 7949800.

It is an arithmetic number, because the mean of its divisors is an integer number (857484622680).

Almost surely, 2^{10289768433364} is an apocalyptic number.

10289768433364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10289768433364 is an abundant number, since it is smaller than the sum of its proper divisors (10289862510956).

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

10289768433364 is a wasteful number, since it uses less digits than its factorization.

10289768433364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679967 (or 1679965 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 10289768433364 in words is "ten trillion, two hundred eighty-nine billion, seven hundred sixty-eight million, four hundred thirty-three thousand, three hundred sixty-four".