10914506371521 has 45 divisors (see below), whose sum is σ = 16368552569523. Its totient is φ = 7247813340240.

The previous prime is 10914506371519. The next prime is 10914506371547. The reversal of 10914506371521 is 12517360541901.

The square root of 10914506371521 is 3303711.

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

10914506371521 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 4 + 5 + 0 + 637 + 1 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176432761521 + 10738073610000 = 420039^2 + 3276900^2 .

It is not a de Polignac number, because 10914506371521 - 2¹ = 10914506371519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10914506351521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9841754515 + ... + 9841755623.

Almost surely, 2^{10914506371521} is an apocalyptic number.

10914506371521 is the 3303711-st square number.

10914506371521 is the 1651856-th centered octagonal number.

It is an amenable number.

10914506371521 is a deficient number, since it is larger than the sum of its proper divisors (5454046198002).

10914506371521 is an frugal number, since it uses more digits than its factorization.

10914506371521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10914506371521 in words is "ten trillion, nine hundred fourteen billion, five hundred six million, three hundred seventy-one thousand, five hundred twenty-one".