948994040499849 has 48 divisors (see below), whose sum is σ = 1408321943705664. Its totient is φ = 615342936585600.

The previous prime is 948994040499809. The next prime is 948994040499859.

It is a happy number.

948994040499849 is a `hidden beast` number, since 9 + 4 + 89 + 9 + 40 + 404 + 9 + 9 + 84 + 9 = 666.

948994040499849 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 948994040499849 - 2³² = 948989745532553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (948994040499809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32135505214 + ... + 32135534744.

It is an arithmetic number, because the mean of its divisors is an integer number (29340040493868).

Almost surely, 2^{948994040499849} is an apocalyptic number.

It is an amenable number.

948994040499849 is a deficient number, since it is larger than the sum of its proper divisors (459327903205815).

948994040499849 is a wasteful number, since it uses less digits than its factorization.

948994040499849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60918 (or 60915 counting only the distinct ones).

The product of its (nonzero) digits is 34828517376, while the sum is 90.

The spelling of 948994040499849 in words is "nine hundred forty-eight trillion, nine hundred ninety-four billion, forty million, four hundred ninety-nine thousand, eight hundred forty-nine".