948978879849 has 144 divisors (see below), whose sum is σ = 1858672932480. Its totient is φ = 450591413760.

The previous prime is 948978879847. The next prime is 948978879929.

948978879849 is a `hidden beast` number, since 9 + 489 + 7 + 8 + 87 + 9 + 8 + 49 = 666.

948978879849 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 948978879849 - 2¹ = 948978879847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (948978879841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95571517 + ... + 95581445.

It is an arithmetic number, because the mean of its divisors is an integer number (12907450920).

Almost surely, 2^948978879849 is an apocalyptic number.

948978879849 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

948978879849 is a deficient number, since it is larger than the sum of its proper divisors (909694052631).

948978879849 is a wasteful number, since it uses less digits than its factorization.

948978879849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172 (or 10066 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 90.

The spelling of 948978879849 in words is "nine hundred forty-eight billion, nine hundred seventy-eight million, eight hundred seventy-nine thousand, eight hundred forty-nine".