10849941905625 has 135 divisors (see below), whose sum is σ = 20144474897547. Its totient is φ = 5625496872000.

The previous prime is 10849941905603. The next prime is 10849941905633. The reversal of 10849941905625 is 52650914994801.

The square root of 10849941905625 is 3293925.

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

10849941905625 is a `hidden beast` number, since 1 + 0 + 8 + 499 + 4 + 1 + 90 + 56 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3602453348169 + 7247488557456 = 1898013^2 + 2692116^2 .

It is not a de Polignac number, because 10849941905625 - 2⁷ = 10849941905497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9140641282 + ... + 9140642468.

Almost surely, 2^{10849941905625} is an apocalyptic number.

10849941905625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10849941905625 is the 3293925-th square number.

10849941905625 is the 1646963-rd centered octagonal number.

It is an amenable number.

10849941905625 is a deficient number, since it is larger than the sum of its proper divisors (9294532991922).

10849941905625 is an frugal number, since it uses more digits than its factorization.

10849941905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 10849941905625 in words is "ten trillion, eight hundred forty-nine billion, nine hundred forty-one million, nine hundred five thousand, six hundred twenty-five".