14264475948 has 192 divisors, whose sum is σ = 40072435200. Its totient is φ = 4374155520.

The previous prime is 14264475947. The next prime is 14264476001. The reversal of 14264475948 is 84957446241.

14264475948 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 4 + 47 + 594 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14264475894 and 14264475903.

It is not an unprimeable number, because it can be changed into a prime (14264475947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10388590 + ... + 10389962.

It is an arithmetic number, because the mean of its divisors is an integer number (208710600).

Almost surely, 2^14264475948 is an apocalyptic number.

14264475948 is a gapful number since it is divisible by the number (18) 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 14264475948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20036217600).

14264475948 is an abundant number, since it is smaller than the sum of its proper divisors (25807959252).

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

14264475948 is a wasteful number, since it uses less digits than its factorization.

14264475948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 14264475948 in words is "fourteen billion, two hundred sixty-four million, four hundred seventy-five thousand, nine hundred forty-eight".