14634224640 has 660 divisors, whose sum is σ = 60788334288. Its totient is φ = 3297853440.

The previous prime is 14634224611. The next prime is 14634224641. The reversal of 14634224640 is 4642243641.

14634224640 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 2 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14634224595 and 14634224604.

It is not an unprimeable number, because it can be changed into a prime (14634224641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 206115805 + ... + 206115875.

Almost surely, 2^14634224640 is an apocalyptic number.

14634224640 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 14634224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30394167144).

14634224640 is an abundant number, since it is smaller than the sum of its proper divisors (46154109648).

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

14634224640 is an frugal number, since it uses more digits than its factorization.

14634224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 14634224640 in words is "fourteen billion, six hundred thirty-four million, two hundred twenty-four thousand, six hundred forty".