10834472563776 has 567 divisors, whose sum is σ = 33330203469381. Its totient is φ = 3364675319808.

The previous prime is 10834472563763. The next prime is 10834472563781. The reversal of 10834472563776 is 67736527443801.

The square root of 10834472563776 is 3291576.

It is a perfect power (a square), and thus also a powerful number.

10834472563776 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 4 + 7 + 256 + 377 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2080448525376 + 8754024038400 = 1442376^2 + 2958720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 121735646740 + ... + 121735646828.

Almost surely, 2^{10834472563776} is an apocalyptic number.

10834472563776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10834472563776 is the 3291576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834472563776

10834472563776 is an abundant number, since it is smaller than the sum of its proper divisors (22495730905605).

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

10834472563776 is an frugal number, since it uses more digits than its factorization.

10834472563776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 10834472563776 in words is "ten trillion, eight hundred thirty-four billion, four hundred seventy-two million, five hundred sixty-three thousand, seven hundred seventy-six".