14225948352 has 560 divisors, whose sum is σ = 53143757568. Its totient is φ = 3655342080.

The previous prime is 14225948333. The next prime is 14225948389. The reversal of 14225948352 is 25384952241.

14225948352 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 594 + 8 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14225948298 and 14225948307.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62669263 + ... + 62669489.

Almost surely, 2^14225948352 is an apocalyptic number.

14225948352 is a gapful number since it is divisible by the number (12) 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 14225948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26571878784).

14225948352 is an abundant number, since it is smaller than the sum of its proper divisors (38917809216).

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

14225948352 is a wasteful number, since it uses less digits than its factorization.

14225948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 14225948352 in words is "fourteen billion, two hundred twenty-five million, nine hundred forty-eight thousand, three hundred fifty-two".