14194776960 has 1536 divisors, whose sum is σ = 67365043200. Its totient is φ = 2770993152.

The previous prime is 14194776949. The next prime is 14194776971. The reversal of 14194776960 is 6967749141.

It is an interprime number because it is at equal distance from previous prime (14194776949) and next prime (14194776971).

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 = 14194776897 and 14194776906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240589411 + ... + 240589469.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 2^14194776960 is an apocalyptic number.

14194776960 is a gapful number since it is divisible by the number (10) 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 14194776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33682521600).

14194776960 is an abundant number, since it is smaller than the sum of its proper divisors (53170266240).

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

14194776960 is a wasteful number, since it uses less digits than its factorization.

14194776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 14194776960 in words is "fourteen billion, one hundred ninety-four million, seven hundred seventy-six thousand, nine hundred sixty".