14193357948 has 384 divisors, whose sum is σ = 47067955200. Its totient is φ = 3592512000.

The previous prime is 14193357947. The next prime is 14193358019. The reversal of 14193357948 is 84975339141.

14193357948 is a `hidden beast` number, since 14 + 19 + 3 + 3 + 579 + 48 = 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 = 14193357894 and 14193357903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14193357947) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93995673 + ... + 93995823.

It is an arithmetic number, because the mean of its divisors is an integer number (122572800).

Almost surely, 2^14193357948 is an apocalyptic number.

14193357948 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 14193357948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533977600).

14193357948 is an abundant number, since it is smaller than the sum of its proper divisors (32874597252).

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

14193357948 is a wasteful number, since it uses less digits than its factorization.

14193357948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 14193357948 in words is "fourteen billion, one hundred ninety-three million, three hundred fifty-seven thousand, nine hundred forty-eight".