14312654640 has 200 divisors, whose sum is σ = 49988706768. Its totient is φ = 3795310080.

The previous prime is 14312654633. The next prime is 14312654651. The reversal of 14312654640 is 4645621341.

14312654640 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 2 + 6 + 5 + 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 = 14312654595 and 14312654604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1166779 + ... + 1178981.

Almost surely, 2^14312654640 is an apocalyptic number.

14312654640 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 14312654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24994353384).

14312654640 is an abundant number, since it is smaller than the sum of its proper divisors (35676052128).

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

14312654640 is a wasteful number, since it uses less digits than its factorization.

14312654640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12409 (or 12394 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14312654640 in words is "fourteen billion, three hundred twelve million, six hundred fifty-four thousand, six hundred forty".