11854765455625 has 15 divisors (see below), whose sum is σ = 14813822475793. Its totient is φ = 9483743503000.

The previous prime is 11854765455569. The next prime is 11854765455671. The reversal of 11854765455625 is 52655456745811.

The square root of 11854765455625 is 3443075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 929413611721 + 10925351843904 = 964061^2 + 3305352^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11854765455625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 86008014 + ... + 86145736.

Almost surely, 2^{11854765455625} is an apocalyptic number.

11854765455625 is the 3443075-th square number.

11854765455625 is the 1721538-th centered octagonal number.

It is an amenable number.

11854765455625 is a deficient number, since it is larger than the sum of its proper divisors (2959057020168).

11854765455625 is an frugal number, since it uses more digits than its factorization.

11854765455625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275466 (or 137728 counting only the distinct ones).

The product of its digits is 201600000, while the sum is 64.

Multiplying 11854765455625 by its sum of digits (64), we get a square (758704989160000 = 27544600²).

The spelling of 11854765455625 in words is "eleven trillion, eight hundred fifty-four billion, seven hundred sixty-five million, four hundred fifty-five thousand, six hundred twenty-five".