11892848857201 has 9 divisors (see below), whose sum is σ = 12878103817281. Its totient is φ = 10977972946512.

The previous prime is 11892848857199. The next prime is 11892848857223. The reversal of 11892848857201 is 10275884829811.

The square root of 11892848857201 is 3448601.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8972714711601 + 2920134145600 = 2995449^2 + 1708840^2 .

It is not a de Polignac number, because 11892848857201 - 2¹ = 11892848857199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11892848857261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44699175 + ... + 44964451.

Almost surely, 2^{11892848857201} is an apocalyptic number.

11892848857201 is the 3448601-st square number.

11892848857201 is the 1724301-st centered octagonal number.

It is an amenable number.

11892848857201 is a deficient number, since it is larger than the sum of its proper divisors (985254960080).

11892848857201 is an frugal number, since it uses more digits than its factorization.

11892848857201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530580 (or 265290 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 64.

Multiplying 11892848857201 by its sum of digits (64), we get a square (761142326860864 = 27588808²).

The spelling of 11892848857201 in words is "eleven trillion, eight hundred ninety-two billion, eight hundred forty-eight million, eight hundred fifty-seven thousand, two hundred one".