14932632960640 has 384 divisors, whose sum is σ = 38945320128000. Its totient is φ = 5468560957440.

The previous prime is 14932632960617. The next prime is 14932632960709. The reversal of 14932632960640 is 4606923623941.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10234840231 + ... + 10234841689.

It is an arithmetic number, because the mean of its divisors is an integer number (101420104500).

Almost surely, 2^{14932632960640} is an apocalyptic number.

14932632960640 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 14932632960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472660064000).

14932632960640 is an abundant number, since it is smaller than the sum of its proper divisors (24012687167360).

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

14932632960640 is a wasteful number, since it uses less digits than its factorization.

14932632960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 55.

The spelling of 14932632960640 in words is "fourteen trillion, nine hundred thirty-two billion, six hundred thirty-two million, nine hundred sixty thousand, six hundred forty".