10232665777334 has 256 divisors, whose sum is σ = 22305798144000. Its totient is φ = 3389559022080.

The previous prime is 10232665777307. The next prime is 10232665777339. The reversal of 10232665777334 is 43377756623201.

10232665777334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10232665777334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232665777339) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 506081477 + ... + 506101695.

It is an arithmetic number, because the mean of its divisors is an integer number (87132024000).

Almost surely, 2^{10232665777334} is an apocalyptic number.

10232665777334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10232665777334 is an abundant number, since it is smaller than the sum of its proper divisors (12073132366666).

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

10232665777334 is a wasteful number, since it uses less digits than its factorization.

10232665777334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20683.

The product of its (nonzero) digits is 26671680, while the sum is 56.

It can be divided in two parts, 10232 and 665777334, that added together give a palindrome (665787566).

The spelling of 10232665777334 in words is "ten trillion, two hundred thirty-two billion, six hundred sixty-five million, seven hundred seventy-seven thousand, three hundred thirty-four".