14556656640 has 352 divisors, whose sum is σ = 49853522304. Its totient is φ = 3612344320.

The previous prime is 14556656627. The next prime is 14556656651. The reversal of 14556656640 is 4665665541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14556656640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27939580 + ... + 27940100.

Almost surely, 2^14556656640 is an apocalyptic number.

14556656640 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 14556656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24926761152).

14556656640 is an abundant number, since it is smaller than the sum of its proper divisors (35296865664).

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

14556656640 is a wasteful number, since it uses less digits than its factorization.

14556656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 14556656640 in words is "fourteen billion, five hundred fifty-six million, six hundred fifty-six thousand, six hundred forty".