14445674460 has 336 divisors, whose sum is σ = 52883712000. Its totient is φ = 3244551552.

The previous prime is 14445674449. The next prime is 14445674473. The reversal of 14445674460 is 6447654441.

14445674460 is a `hidden beast` number, since 1 + 4 + 44 + 567 + 4 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6020341 + ... + 6022739.

It is an arithmetic number, because the mean of its divisors is an integer number (157392000).

Almost surely, 2^14445674460 is an apocalyptic number.

14445674460 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 14445674460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26441856000).

14445674460 is an abundant number, since it is smaller than the sum of its proper divisors (38438037540).

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

14445674460 is a wasteful number, since it uses less digits than its factorization.

14445674460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 14445674460 in words is "fourteen billion, four hundred forty-five million, six hundred seventy-four thousand, four hundred sixty".