14846427904 has 144 divisors (see below), whose sum is σ = 37556096256. Its totient is φ = 5689036800.

The previous prime is 14846427863. The next prime is 14846427923. The reversal of 14846427904 is 40972464841.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196259 + ... + 1208605.

It is an arithmetic number, because the mean of its divisors is an integer number (260806224).

Almost surely, 2^14846427904 is an apocalyptic number.

14846427904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14846427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778048128).

14846427904 is an abundant number, since it is smaller than the sum of its proper divisors (22709668352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14846427904 is a wasteful number, since it uses less digits than its factorization.

14846427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 14846427904 in words is "fourteen billion, eight hundred forty-six million, four hundred twenty-seven thousand, nine hundred four".