14914160640 has 240 divisors, whose sum is σ = 53459946540. Its totient is φ = 3976888320.

The previous prime is 14914160627. The next prime is 14914160663. The reversal of 14914160640 is 4606141941.

14914160640 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 4 + 1 + 6 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13739590656 + 1174569984 = 117216^2 + 34272^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 14914160595 and 14914160604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 820450 + ... + 838430.

Almost surely, 2^14914160640 is an apocalyptic number.

14914160640 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 14914160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26729973270).

14914160640 is an abundant number, since it is smaller than the sum of its proper divisors (38545785900).

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

14914160640 is an equidigital number, since it uses as much as digits as its factorization.

14914160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18020 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14914160640 in words is "fourteen billion, nine hundred fourteen million, one hundred sixty thousand, six hundred forty".