14485746240 has 896 divisors, whose sum is σ = 63010206720. Its totient is φ = 3057647616.

The previous prime is 14485746227. The next prime is 14485746241. The reversal of 14485746240 is 4264758441.

14485746240 is a `hidden beast` number, since 1 + 4 + 485 + 74 + 62 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14485746241) 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, 75055584 + ... + 75055776.

Almost surely, 2^14485746240 is an apocalyptic number.

14485746240 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 14485746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505103360).

14485746240 is an abundant number, since it is smaller than the sum of its proper divisors (48524460480).

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

14485746240 is a wasteful number, since it uses less digits than its factorization.

14485746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 14485746240 in words is "fourteen billion, four hundred eighty-five million, seven hundred forty-six thousand, two hundred forty".