10848816742401 has 48 divisors (see below), whose sum is σ = 17428412993472. Its totient is φ = 6446998396800.

The previous prime is 10848816742349. The next prime is 10848816742457. The reversal of 10848816742401 is 10424761884801.

10848816742401 is a `hidden beast` number, since 1 + 0 + 84 + 8 + 81 + 67 + 424 + 0 + 1 = 666.

It is not a de Polignac number, because 10848816742401 - 2¹⁷ = 10848816611329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10848816742481) 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 47 ways as a sum of consecutive naturals, for example, 7867626 + ... + 9143148.

It is an arithmetic number, because the mean of its divisors is an integer number (363091937364).

Almost surely, 2^{10848816742401} is an apocalyptic number.

10848816742401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10848816742401 is a deficient number, since it is larger than the sum of its proper divisors (6579596251071).

10848816742401 is a wasteful number, since it uses less digits than its factorization.

10848816742401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277214 (or 1277211 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 10848816742401 in words is "ten trillion, eight hundred forty-eight billion, eight hundred sixteen million, seven hundred forty-two thousand, four hundred one".