14561648640 has 1344 divisors, whose sum is σ = 68698506240. Its totient is φ = 2866544640.

The previous prime is 14561648597. The next prime is 14561648681. The reversal of 14561648640 is 4684616541.

14561648640 is a `hidden beast` number, since 1 + 4 + 561 + 6 + 4 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×14561648640² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 766402551 + ... + 766402569.

It is an arithmetic number, because the mean of its divisors is an integer number (51114960).

Almost surely, 2^14561648640 is an apocalyptic number.

14561648640 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 14561648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34349253120).

14561648640 is an abundant number, since it is smaller than the sum of its proper divisors (54136857600).

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

14561648640 is an equidigital number, since it uses as much as digits as its factorization.

14561648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14561648640 in words is "fourteen billion, five hundred sixty-one million, six hundred forty-eight thousand, six hundred forty".